%% Papers Published
@article{fds340296,
Author = {Di Cerbo and LF and Stern, M},
Title = {Price inequalities and Betti number growth on manifolds
without conjugate points},
Journal = {Communications in Analysis and Geometry},
Volume = {30},
Number = {2},
Pages = {297-334},
Publisher = {International Press},
Year = {2022},
Month = {January},
url = {http://dx.doi.org/10.4310/CAG.2022.V30.N2.A3},
Abstract = {We derive Price inequalities for harmonic forms on manifolds
without conjugate points and with a negative Ricci upper
bound. The techniques employed in the proof work
particularly well for manifolds of non-positive sectional
curvature, and in this case we prove a strengthened Price
inequality. We employ these inequalities to study the
asymptotic behavior of the Betti numbers of coverings of
Riemannian manifolds without conjugate points. Finally, we
give a vanishing result for L2-Betti numbers of closed
manifolds without conjugate points.},
Doi = {10.4310/CAG.2022.V30.N2.A3},
Key = {fds340296}
}
@article{fds340297,
Author = {Cherkis, SA and Larrain-Hubach, A and Stern, M},
Title = {Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and
Index Theorem},
Journal = {Journal of Differential Geometry},
Volume = {119},
Number = {1},
Pages = {1-72},
Publisher = {International Press},
Year = {2021},
Month = {December},
Abstract = {We study finite action anti-self-dual Yang-Mills connections
on the multi-Taub-NUT space. We establish the curvature and
the harmonic spinors decay rates and compute the index of
the associated Dirac operator. This is the first in a series
of papers proving the completeness of the bow construction
of instantons on multi-Taub-NUT spaces and exploring it in
detail.},
Key = {fds340297}
}
@article{fds361534,
Author = {Cherkis, S and Larraín-Hubach, A and Stern, M},
Title = {Instantons on multi-Taub-NUT Spaces II: Bow
Construction},
Journal = {Journal of Differential Geometry},
Publisher = {International Press},
Year = {2021},
Month = {March},
Abstract = {Unitary anti-self-dual connections on Asymptotically Locally
Flat (ALF) hyperk\"ahler spaces are constructed in terms of
data organized in a bow. Bows generalize quivers, and the
relevant bow gives rise to the underlying ALF space as the
moduli space of its particular representation -- the small
representation. Any other representation of that bow gives
rise to anti-self-dual connections on that ALF space. We
prove that each resulting connection has finite action, i.e.
it is an instanton. Moreover, we derive the asymptotic form
of such a connection and compute its topological
class.},
Key = {fds361534}
}
@article{fds361444,
Author = {Cerbo, LFD and Stern, M},
Title = {On the Betti Numbers of Finite Volume Hyperbolic
Manifolds},
Year = {2020},
Month = {September},
Abstract = {We obtain strong upper bounds for the Betti numbers of
compact complex-hyperbolic manifolds. We use the unitary
holonomy to improve the results given by the most direct
application of the techniques of [DS17]. We also provide
effective upper bounds for Betti numbers of compact
quaternionic- and Cayley-hyperbolic manifolds in most
degrees. More importantly, we extend our techniques to
complete finite volume real- and complex-hyperbolic
manifolds. In this setting, we develop new monotonicity
inequalities for strongly harmonic forms on hyperbolic cusps
and employ a new peaking argument to estimate
$L^2$-cohomology ranks. Finally, we provide bounds on the de
Rham cohomology of such spaces, using a combination of our
bounds on $L^2$-cohomology, bounds on the number of cusps in
terms of the volume, and the topological interpretation of
reduced $L^2$-cohomology on certain rank one locally
symmetric spaces.},
Key = {fds361444}
}
@article{fds361421,
Author = {Cerbo, LFD and Stern, M},
Title = {Harmonic Forms, Price Inequalities, and Benjamini-Schramm
Convergence},
Year = {2019},
Month = {September},
Abstract = {We study Betti numbers of sequences of Riemannian manifolds
which Benjamini-Schramm converge to their universal covers.
Using the Price inequalities we developed elsewhere, we
derive two distinct convergence results. First, under a
negative Ricci curvature assumption and no assumption on
sign of the sectional curvature, we have a convergence
result for weakly uniform discrete sequences of closed
Riemannian manifolds. In the negative sectional curvature
case, we are able to remove the weakly uniform discreteness
assumption. This is achieved by combining a refined
Thick-Thin decomposition together with a Moser iteration
argument for harmonic forms on manifolds with
boundary.},
Key = {fds361421}
}
@article{fds339911,
Author = {Lipnowski, M and Stern, M},
Title = {Geometry of the Smallest 1-form Laplacian Eigenvalue on
Hyperbolic Manifolds},
Journal = {Geometric and Functional Analysis},
Volume = {28},
Number = {6},
Pages = {1717-1755},
Publisher = {Springer Nature},
Year = {2018},
Month = {December},
url = {http://dx.doi.org/10.1007/s00039-018-0471-x},
Abstract = {We relate small 1-form Laplacian eigenvalues to relative
cycle complexity on closed hyperbolic manifolds: small
eigenvalues correspond to closed geodesics no multiple of
which bounds a surface of small genus. We describe potential
applications of this equivalence principle toward proving
optimal torsion homology growth in families of hyperbolic
3-manifolds Benjamini–Schramm converging to
H3.},
Doi = {10.1007/s00039-018-0471-x},
Key = {fds339911}
}
@article{fds330393,
Author = {Stern, M},
Title = {"Nonlinear Harmonic Forms and Indefinite Bochner Formulas "
in Hodge Theory and L^2-Analysis},
Volume = {39},
Publisher = {Higher Education Press},
Year = {2017},
Key = {fds330393}
}
@article{fds330524,
Author = {Stern, MA and Charbonneau, B},
Title = {Asymptotic Hodge Theory of Vector Bundles},
Journal = {Communications in Analysis and Geometry},
Volume = {23},
Number = {3},
Pages = {559-609},
Publisher = {International Press},
Year = {2015},
Month = {December},
Key = {fds330524}
}
@article{fds340298,
Author = {Stern, M},
Title = {$C^{\infty}$ Stability, Canonical Maps, and Discrete
Dynamics},
Year = {2014},
Month = {October},
Abstract = {We study a discrete dynamical system designed to find a
'most holomorphic' connection on a smooth complex vector
bundle $E$. We examine the relation between the distance of
the chern classes of $E$ from the $(p,p)$ axis of the Hodge
diamond and singularity formation. Canonical connections and
canonical metrics pulled back from Grassmannians play a
major role, and we review their differential geometry. As an
exercise in the geometry of canonical connections, we
include an expression for the curvature in terms of heat
kernels.},
Key = {fds340298}
}
@article{fds287383,
Author = {Degeratu, A and Stern, M},
Title = {Witten Spinors on Nonspin Manifolds},
Journal = {Communications in Mathematical Physics},
Volume = {324},
Number = {2},
Pages = {301-350},
Publisher = {Springer Nature},
Year = {2013},
ISSN = {0010-3616},
url = {http://xxx.lanl.gov/abs/1112.0194},
Abstract = {Motivated by Witten's spinor proof of the positive mass
theorem, we analyze asymptotically constant harmonic spinors
on complete asymptotically flat nonspin manifolds with
nonnegative scalar curvature. © 2013 Springer-Verlag Berlin
Heidelberg.},
Doi = {10.1007/s00220-013-1804-0},
Key = {fds287383}
}
@article{fds287384,
Author = {Melnikov, I and Quigley, C and Sethi, S and Stern,
M},
Title = {Target spaces from chiral gauge theories},
Journal = {Journal of High Energy Physics},
Volume = {2013},
Number = {2},
Pages = {1-56},
Publisher = {Springer Nature},
Year = {2013},
ISSN = {1126-6708},
url = {http://xxx.lanl.gov/abs/1212.1212},
Abstract = {Chiral gauge theories in two dimensions with (0, 2)
supersymmetry are central in the study of string
compactifications. Remarkably little is known about generic
(0, 2) theories. We consider theories with branches on which
multiplets with a net gauge anomaly become massive. The
simplest example is a relevant perturbation of the gauge
theory that flows to the ℂℙ n model. To compute the
effective action, we derive a useful set of Feynman rules
for (0, 2) supergraphs. From the effective action, we see
that the infra-red geometry reflects the gauge anomaly by
the presence of a boundary at finite distance. In generic
examples, there are boundaries, fluxes and branes; the
resulting spaces are non-Kähler. © 2013
SISSA.},
Doi = {10.1007/JHEP02(2013)111},
Key = {fds287384}
}
@article{fds318338,
Author = {Quigley, C and Sethi, S and Stern, M},
Title = {Novel branches of (0, 2) theories},
Journal = {Journal of High Energy Physics},
Volume = {2012},
Number = {9},
Year = {2012},
Month = {January},
url = {http://dx.doi.org/10.1007/jhep09(2012)064},
Abstract = {We show that recently proposed linear sigma models with
torsion can be obtained from unconventional branches of
conventional gauge theories. This observation puts models
with log interactions on firm footing. If non-anomalous
multiplets are integrated out, the resulting low-energy
theory involves log interactions of neutral fields. For
these cases, we find a sigma model geometry which is both
non-toric and includes brane sources. These are heterotic
sigma models with branes. Surprisingly, there are massive
models with compact complex non-Kähler target spaces, which
include brane/anti-brane sources. The simplest conformal
models describe wrapped heterotic NS5-branes. We present
examples of both types. © SISSA 2012.},
Doi = {10.1007/jhep09(2012)064},
Key = {fds318338}
}
@article{fds287401,
Author = {Quigley, C and Sethi, S and Stern, M},
Title = {Novel Branches of (0,2) Theories},
Journal = {JHEP},
Volume = {1209},
Number = {064},
Publisher = {Springer Science and Business Media LLC},
Year = {2012},
ISSN = {1029-8479},
url = {http://xxx.lanl.gov/abs/1206.3228},
Abstract = {We show that recently proposed linear sigma models with
torsion can be obtained from unconventional branches of
conventional gauge theories. This observation puts models
with log interactions on firm footing. If non-anomalous
multiplets are integrated out, the resulting low-energy
theory involves log interactions of neutral fields. For
these cases, we find a sigma model geometry which is both
non-toric and includes brane sources. These are heterotic
sigma models with branes. Surprisingly, there are massive
models with compact complex non-Kahler target spaces, which
include brane/anti-brane sources. The simplest conformal
models describe wrapped heterotic NS5-branes. We present
examples of both types.},
Doi = {10.1007/jhep09(2012)064},
Key = {fds287401}
}
@article{fds330394,
Author = {Stern, MA},
Title = {Geometry of Stable Yang Mills Connections},
Booktitle = {Advances in Geometric Analysis},
Publisher = {International Pressof Boston Incorporated},
Year = {2012},
ISBN = {9781571462480},
Abstract = {This volume covers some of the most recent and important
developments in geometry and theoretical physics
today.},
Key = {fds330394}
}
@article{fds287403,
Author = {Stern, M},
Title = {Geometry of minimal energy Yang-Mills connections},
Journal = {Journal of Differential Geometry},
Volume = {86},
Number = {1},
Pages = {163-188},
Publisher = {International Press of Boston},
Year = {2010},
ISSN = {0022-040X},
url = {http://dx.doi.org/10.4310/jdg/1299766686},
Abstract = {We prove that energy minimizing Yang-Mills connections on
compact homogeneous 4-manifolds are either instantons or
split into a sum of instantons on passage to the adjoint
bundle. We prove related results for Calabi-Yau 3-folds and
for 3-dimensional manifolds of nonnegative Ricci
curvature.},
Doi = {10.4310/jdg/1299766686},
Key = {fds287403}
}
@article{fds361445,
Author = {Stern, M},
Title = {Spectral asymmetry for manifolds of special
holonomy},
Year = {2009},
Month = {February},
Abstract = {We define a measure of spectral asymmetry for G_2 and
Spin(7) manifolds. We show that this invariant can be
computed in terms of characteristic classes and the
covariant constant form defining the G_2 or Spin(7)
structure.},
Key = {fds361445}
}
@article{fds287404,
Author = {Stern, M},
Title = {Fixed point theorems from a de Rham perspective},
Journal = {Asian Journal of Mathematics},
Volume = {13},
Number = {1},
Pages = {065-088},
Year = {2009},
Month = {January},
ISSN = {1093-6106},
url = {http://dx.doi.org/10.4310/ajm.2009.v13.n1.a4},
Doi = {10.4310/ajm.2009.v13.n1.a4},
Key = {fds287404}
}
@article{fds340125,
Author = {STERN, M},
Title = {B FIELDS FROM A LUDDITE PERSPECTIVE},
Journal = {Quantum Theory and Symmetries},
Booktitle = {Proceedings of 3rd International Symposium on Quantum Theory
and Symmetries (QTS3)},
Publisher = {WORLD SCIENTIFIC},
Year = {2004},
Month = {October},
url = {http://dx.doi.org/10.1142/9789812702340_0048},
Doi = {10.1142/9789812702340_0048},
Key = {fds340125}
}
@article{fds361446,
Author = {Stern, MA},
Title = {Mechanical D Branes and B Fields},
Year = {2003},
Month = {October},
Abstract = {We represent B fields and higher p-form potentials on a
manifold M as connections on affine bundles over M. We
realize D branes on M as special submanifolds of these
affine bundles. We check the physical relevance of this
representation by showing that the properties of the
resulting branes closely correspond to those of their string
theory counterparts. As a simple application of this
geometric understanding of the B field, we show how to
obtain supersymmetry algebra deformations induced by 2 and 3
form potentials.},
Key = {fds361446}
}
@article{fds325016,
Author = {Paban, S and Sethi, S and Stern, M},
Title = {Non-commutativity and Supersymmetry},
Journal = {Journal of High Energy Physics},
Volume = {2002},
Number = {03},
Pages = {012-012},
Publisher = {Springer Science and Business Media LLC},
Year = {2002},
Month = {March},
url = {http://hep-th/0201259},
Doi = {10.1088/1126-6708/2002/03/012},
Key = {fds325016}
}
@article{fds287398,
Author = {Paban, S and Sethi, S and Stern, M},
Title = {I. Non-commutativity and supersymmetry},
Journal = {Journal of High Energy Physics},
Volume = {6},
Number = {3},
Pages = {183-200},
Year = {2002},
Month = {March},
Abstract = {We study the extent to which the gauge symmetry of abelian
Yang-Mills can be deformed under two conditions: first, that
the deformation depend on a two-form scale. Second, that the
deformation preserve supersymmetry. We show that (up to a
single parameter) the only allowed deformation is the one
determined by the star product. We then consider the
supersymmetry algebra satisfied by NCYM expressed in
commutative variables. The algebra is peculiar since the
supercharges are not gauge-invariant. However, the action,
expressed in commutative variables, appears to be quadratic
in fermions to all orders in θ. © SISSA/ISAS
2002.},
Key = {fds287398}
}
@article{fds287405,
Author = {Stern, MA},
Title = {Quantum Mechanical Mirror Symmetry, D Branes, and B
fields},
Journal = {eprint},
Year = {2002},
url = {http://hep-th/02091292},
Key = {fds287405}
}
@article{fds287397,
Author = {Britto-Pacumio, R and Maloney, A and Strominger, A and Stern,
M},
Title = {Spinning bound states of two and three black
holes},
Journal = {Journal of High Energy Physics},
Volume = {5},
Number = {11},
Pages = {1-19},
Year = {2001},
Month = {January},
ISSN = {1029-8479},
url = {http://dx.doi.org/10.1088/1126-6708/2001/11/054},
Abstract = {Bound states of BPS particles in five-dimensional N = 2
supergravity are counted by a topological index. We compute
this bound state index exactly for two and three black holes
as a function of the SU(2)L angular momentum. The required
regulator for the infrared continuum of near-coincident
black holes is chosen in accord with the enhanced
superconformal symmetry.},
Doi = {10.1088/1126-6708/2001/11/054},
Key = {fds287397}
}
@article{fds287400,
Author = {Pardon, W and Stern, M},
Title = {Pure hodge structure on the L2-cohomology of
varieties with isolated singularities},
Journal = {Journal fur die Reine und Angewandte Mathematik},
Volume = {533},
Pages = {55-80},
Year = {2001},
Key = {fds287400}
}
@article{fds287394,
Author = {Stern, M and Yi, P},
Title = {Counting Yang-Mills dyons with index theorems},
Journal = {Physical Review D - Particles, Fields, Gravitation and
Cosmology},
Volume = {62},
Number = {12},
Pages = {1-15},
Year = {2000},
Month = {December},
ISSN = {0556-2821},
url = {http://dx.doi.org/10.1103/PhysRevD.62.125006},
Abstract = {We count the supersymmetric bound states of many distinct
BPS monopoles in N=4 Yang-Mills theories and in pure N=2
Yang-Mills theories. The novelty here is that we work in
generic Coulombic vacua where more than one adjoint Higgs
fields are turned on. The number of purely magnetic bound
states is again found to be consistent with the
electromagnetic duality of the N=4 SU(n) theory, as
expected. We also count dyons of generic electric charges,
which correspond to 1/4 BPS dyons in N=4 theories and 1/2
BPS dyons in N =2 theories. Surprisingly, the degeneracy of
dyons is typically much larger than would be accounted for
by a single supermultiplet of appropriate angular momentum,
implying many supermultiplets of the same charge and the
same mass. ©2000 The American Physical Society.},
Doi = {10.1103/PhysRevD.62.125006},
Key = {fds287394}
}
@article{fds287396,
Author = {Sethi, S and Stern, M},
Title = {The structure of the D0-D4 bound state},
Journal = {Nuclear Physics B},
Volume = {578},
Number = {1-2},
Pages = {163-198},
Publisher = {Elsevier BV},
Year = {2000},
Month = {July},
url = {http://dx.doi.org/10.1016/S0550-3213(00)00181-4},
Abstract = {We derive a set of equations for the wavefunction describing
the marginal bound state of a single D0-brane with a single
D4-brane. These are equations determining the vacuum of an
N=8 Abelian gauge theory with a charged hypermultiplet. We
then solve these equations for the most general possible
zero-energy solution using a Taylor series. We find that
there are an infinite number of such solutions of which only
one must be normalizable. We explore the structure of a
normalizable solution under the assumption of an asymptotic
expansion. Even the leading terms in the asymptotic series,
which should reflect the supergravity solution, are unusual.
Through the Spin(5) flavor symmetry, the modes which are
massive at long distance actually influence the leading
behavior. Lastly, we show that the vacuum equations can
quite remarkably be reduced to a single equation involving
one unknown function. The resulting equation has a
surprisingly simple and suggestive form. © 2000 Elsevier
Science B.V.},
Doi = {10.1016/S0550-3213(00)00181-4},
Key = {fds287396}
}
@article{fds287395,
Author = {Sethi, S and Stern, M},
Title = {Invariance theorems for supersymmetric Yang-Mills
theories},
Journal = {Advances in Theoretical and Mathematical
Physics},
Volume = {4},
Number = {2},
Pages = {487-501},
Year = {2000},
Month = {January},
ISSN = {1095-0761},
url = {http://dx.doi.org/10.4310/atmp.2000.v4.n2.a8},
Abstract = {We consider quantum mechanical Yang-Mills theories with
eight supercharges and a Spin(5) × SU(2)R flavor symmetry.
We show that all normalizable ground states in these gauge
theories are invariant under this flavor symmetry. This
includes, as a special case, all bound states of D0-branes
and D4-branes. As a consequence, all bound states of
D0-branes are invariant under the Spin(9) flavor symmetry.
When combined with index results, this implies that the
bound state of two D0-branes is unique.},
Doi = {10.4310/atmp.2000.v4.n2.a8},
Key = {fds287395}
}
@article{fds287393,
Author = {Paban, S and Sethi, S and Stern, M},
Title = {Summing up instantons in three-dimensional Yang-Mills
theories},
Journal = {Advances in Theoretical and Mathematical
Physics},
Volume = {3},
Number = {2},
Pages = {343-361},
Year = {1999},
Month = {January},
ISSN = {1095-0761},
url = {http://dx.doi.org/10.4310/atmp.1999.v3.n2.a6},
Abstract = {We show that the four derivative terms in the effective
action of three-dimensional N=8 Yang-Mills theory are
determined by supersymmetry. These terms receive both
perturbative and non-perturbative corrections. Using our
technique for constraining the effective action, we are able
to determine the exact form of the eight fermion terms in
the supersymmetric completion of the F4 term, including all
instanton corrections. As a consequence, we argue that the
integral of the Euler density over k monopole moduli space
in SU(2) Yang-Mills is determined by our non-renormalization
theorem for all values of k.},
Doi = {10.4310/atmp.1999.v3.n2.a6},
Key = {fds287393}
}
@article{fds287390,
Author = {Paban, S and Sethi, S and Stern, M},
Title = {Constraints from extended supersymmetry in quantum
mechanics},
Journal = {Nuclear Physics B},
Volume = {534},
Number = {1-2},
Pages = {137-154},
Publisher = {Elsevier BV},
Year = {1998},
Month = {November},
url = {http://dx.doi.org/10.1016/S0550-3213(98)00518-5},
Abstract = {We consider quantum mechanical gauge theories with sixteen
supersymmetries. The Hamiltonians or Lagrangians
characterizing these theories can contain higher derivative
terms. In the operator approach, we show that the free
theory is essentially the unique abelian theory with up to
four derivatives in the following sense: any small
deformation of the free theory, which preserves the
supersymmetries, can be gauged away by a unitary
conjugation. We also present a method for deriving
constraints on terms appearing in an effective Lagrangian.
We apply this method to the effective Lagrangian describing
the dynamics of two well-separated clusters of D0-branes. As
a result, we prove a non-renormalization theorem for the υ4
interaction. © 1998 Elsevier Science B.V.},
Doi = {10.1016/S0550-3213(98)00518-5},
Key = {fds287390}
}
@article{fds287388,
Author = {Sethi, S and Stern, M},
Title = {D-brane bound states redux},
Journal = {Communications in Mathematical Physics},
Volume = {194},
Number = {3},
Pages = {675-705},
Publisher = {Springer Nature},
Year = {1998},
url = {http://dx.doi.org/10.1007/s002200050374},
Abstract = {We study the existence of D-brane bound states at threshold
in Type II string theories. In a number of situations, we
can reduce the question of existence to quadrature, and the
study of a particular limit of the propagator for the system
of D-branes. This involves a derivation of an index theorem
for a family of non-Fredholm operators. In support of the
conjectured relation between compactified eleven-dimensional
supergravity and Type IIA string theory, we show that a
bound state exists for two co-incident zero-branes. This
result also provides support for the conjectured description
of M-theory as a matrix model. In addition, we provide
further evidence that there are no BPS bound states for two
and three-branes twice wrapped on Calabi-Yau vanishing
cycles.},
Doi = {10.1007/s002200050374},
Key = {fds287388}
}
@article{fds287389,
Author = {Sethi, S and Stern, M},
Title = {A comment on the spectrum of H-monopoles},
Journal = {Physics Letters, Section B: Nuclear, Elementary Particle and
High-Energy Physics},
Volume = {398},
Number = {1-2},
Pages = {47-51},
Publisher = {Elsevier BV},
Year = {1997},
Month = {April},
url = {http://dx.doi.org/10.1016/S0370-2693(97)00199-8},
Abstract = {We consider the question of ground states in the
supersymmetric system that arises in the search for the
missing H-monopole states. By studying the effective theory
near certain singularities in the five-brane moduli space,
we find substantial evidence for the remaining H-monopole
BPS states required by the conjectured S-duality of the
toroidally compactified heterotic string. © 1997 Published
by Elsevier Science B.V.},
Doi = {10.1016/S0370-2693(97)00199-8},
Key = {fds287389}
}
@article{fds287387,
Author = {Sethi, S and Stern, M and Zaslow, E},
Title = {Monopole and dyon bound states in N = 2 supersymmetric
Yang-Mills theories},
Journal = {Nuclear Physics, Section B},
Volume = {457},
Number = {3},
Pages = {484-510},
Publisher = {Elsevier BV},
Year = {1995},
Month = {December},
ISSN = {0550-3213},
url = {http://dx.doi.org/10.1016/0550-3213(95)00517-X},
Abstract = {We study the existence of monopole bound states saturating
the BPS bound in N = 2 supersymmetric Yang-Mills theories.
We describe how the existence of such bound states relates
to the topology of index bundles over the moduli space of
BPS solutions. Using an L2 index theorem, we prove the
existence of certain BPS states predicted by Seiberg and
Witten based on their study of the vacuum structure of N = 2
Yang-Mills theories. © 1995.},
Doi = {10.1016/0550-3213(95)00517-X},
Key = {fds287387}
}
@article{fds287386,
Author = {Stern, M},
Title = {Lefschetz formulae for arithmetic varieties},
Journal = {Inventiones Mathematicae},
Volume = {115},
Number = {1},
Pages = {241-296},
Publisher = {Springer Nature},
Year = {1994},
Month = {December},
ISSN = {0020-9910},
url = {http://dx.doi.org/10.1007/BF01231760},
Doi = {10.1007/BF01231760},
Key = {fds287386}
}
@article{fds320665,
Author = {Stern, M},
Title = {Index theory for certain complete kähler
manifolds},
Journal = {Journal of Differential Geometry},
Volume = {37},
Number = {3},
Pages = {467-503},
Publisher = {International Press of Boston},
Year = {1993},
Month = {January},
url = {http://dx.doi.org/10.4310/jdg/1214453896},
Doi = {10.4310/jdg/1214453896},
Key = {fds320665}
}
@article{fds324039,
Author = {Saper, L and Stern, M},
Title = {Appendix to: On the shape of the contribution of a fixed
point on the boundary. The case of Q-rank one, by M.
Rapoport},
Pages = {489-491},
Booktitle = {The zeta functions of Picard modular surfaces based on
lectures delivered at a CRM Workshop in the spring of
1988},
Publisher = {Centre De Recherches Mathématiques},
Editor = {Langlands, R and Ramakrishnan, D},
Year = {1992},
Key = {fds324039}
}
@article{fds320666,
Author = {Pardon, WL and Stern, MA},
Title = {L2 -∂-cohomology of complex projective
varieties},
Journal = {Journal of the American Mathematical Society},
Volume = {4},
Number = {3},
Pages = {603-621},
Publisher = {American Mathematical Society (AMS)},
Year = {1991},
Month = {January},
url = {http://dx.doi.org/10.1090/S0894-0347-1991-1102582-6},
Doi = {10.1090/S0894-0347-1991-1102582-6},
Key = {fds320666}
}
@article{fds320667,
Author = {Stern, M},
Title = {Eta invariants and Hermitian locally symmetric
spaces},
Journal = {Journal of Differential Geometry},
Volume = {31},
Number = {3},
Pages = {771-789},
Publisher = {International Press of Boston},
Year = {1990},
Month = {January},
url = {http://dx.doi.org/10.4310/jdg/1214444634},
Doi = {10.4310/jdg/1214444634},
Key = {fds320667}
}
@article{fds320668,
Author = {Stern, M and Saper, L},
Title = {L²-cohomology of arithmetic varieties},
Journal = {Annals of Mathematics},
Volume = {132},
Number = {1},
Pages = {1-69},
Publisher = {JSTOR},
Year = {1990},
url = {http://dx.doi.org/10.2307/1971500},
Doi = {10.2307/1971500},
Key = {fds320668}
}
@article{fds287385,
Author = {Stern, M},
Title = {L2-index theorems on locally symmetric
spaces},
Journal = {Inventiones Mathematicae},
Volume = {96},
Number = {2},
Pages = {231-282},
Publisher = {Springer Nature},
Year = {1989},
Month = {June},
ISSN = {0020-9910},
url = {http://dx.doi.org/10.1007/BF01393964},
Doi = {10.1007/BF01393964},
Key = {fds287385}
}
@article{fds320669,
Author = {Saper, L and Stern, M},
Title = {L²-cohomology of arithmetic varieties},
Journal = {Proc Natl Acad Sci U.S.A.},
Volume = {84},
Number = {16},
Pages = {5516-5519},
Year = {1987},
Month = {August},
url = {http://dx.doi.org/10.1073/pnas.84.16.5516},
Abstract = {The L₂-cohomology of arithmetic quotients of bounded
symmetric domains is studied. We establish the conjecture of
Zucker equating the L₂-cohomology of these spaces to the
intersection cohomology of their Baily-Borel
compactifications.},
Doi = {10.1073/pnas.84.16.5516},
Key = {fds320669}
}
@article{fds9874,
Author = {Bill Pardon and Mark A Stern},
Title = {Pure Hodge structures on the L2-cohomology of varieties with
isolated singularities.},
Journal = {J. Reine Angew. Math. 533 (2001) 55-80.},
Key = {fds9874}
}
@article{fds9501,
Author = {Sonia Paban and Savdeep Sethi and Mark A. Stern},
Title = {Summing Instantons in 3 dimensional Yang-Mills
theories},
Journal = {Adv. Theor. Math. Phys, vol. 3, (1999).},
url = {http://arxiv.org/abs/hep-th/9808119},
Abstract = {In this paper, we extend our cohomological
nonrenormalization analysis to 3 d Yang-Mills theory. As an
application, we obtain a "physical prediction" of the Euler
numbers of an infinite family of monopole moduli
spaces.},
Key = {fds9501}
}
@article{fds8707,
Author = {S. Paban and S. Sethi and Mark A Stern},
Title = {Supersymmetry and higher derivative terms in the effective
action of Yang-Mills},
Journal = {J. High Energy Physics. 06:12 (1998)},
Key = {fds8707}
}
@article{fds9530,
Author = {Mark A. Stern},
Title = {L^2-Cohomology and index theory of noncompact
manifolds},
Journal = {Proceedings of Symposia in Pure Math. 54 (1993),
559-575},
Key = {fds9530}
}
@article{fds9531,
Author = {L. Saper and Mark A. Stern},
Title = {Appendix to an article of Rapaport},
Journal = {Zeta functions of Picard Modular Varieties, R.P. Langlands
and D. Ramakrishnan ed. CRM, Montreal (1992)},
Key = {fds9531}
}
@article{fds9534,
Author = {L. Saper and Mark A. Stern},
Title = {L^2 cohomology of arithmetic varieties},
Journal = {Annals of Math. 132 (1990), 1-69},
Key = {fds9534}
}
@article{fds9536,
Author = {Mark A. Stern},
Title = {L^2 index theorems on locally symmetric spaces},
Journal = {Inventiones 96 (1989), 231-282},
Key = {fds9536}
}
@article{fds9535,
Author = {L.Saper and Mark A. Stern},
Title = {L^2 cohomology of arithmetic varieties},
Journal = {Proc. Natl. Acad. Sci. 84 (1987), 5516-5519},
Key = {fds9535}
}
@article{fds9537,
Author = {Mark A. Stern},
Title = {L^2 index theorems on warped products},
Journal = {Thesis, Princeton University, 1984},
Key = {fds9537}
}
%% Preprints
@article{fds225762,
Author = {Mark Stern},
Title = {Nonlinear Harmonic Forms and an Exotic Bochner
Formula},
Year = {2014},
Key = {fds225762}
}
@article{fds15951,
Author = {M.A. Stern},
Title = {Mechanical B fields and D branes},
Year = {2003},
url = {http://arxiv.org/abs/hep-th /0310020},
Key = {fds15951}
}
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Mathematics Department