Publications of William L. Pardon
%% Papers Published
@article{fds287382,
Author = {Goresky, M and Pardon, W},
Title = {Chern classes of automorphic vector bundles},
Journal = {Inventiones Mathematicae},
Volume = {147},
Number = {3},
Pages = {561-612},
Publisher = {Springer Nature},
Year = {2002},
Month = {December},
Doi = {10.1007/s002220100184},
Key = {fds287382}
}
@article{fds287381,
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 = {fds287381}
}
@article{fds321995,
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},
Doi = {10.1090/S0894-0347-1991-1102582-6},
Key = {fds321995}
}
@article{fds287380,
Author = {Pardon, WL},
Title = {Intersection homology Poincaré spaces and the
characteristic variety theorem},
Journal = {Commentarii Mathematici Helvetici},
Volume = {65},
Number = {1},
Pages = {198-233},
Publisher = {European Mathematical Publishing House},
Year = {1990},
Month = {December},
ISSN = {0010-2571},
Doi = {10.1007/BF02566603},
Key = {fds287380}
}
@article{fds287378,
Author = {Goresky, M and Pardon, W},
Title = {Wu numbers of singular spaces},
Journal = {Topology},
Volume = {28},
Number = {3},
Pages = {325-367},
Publisher = {Elsevier BV},
Year = {1989},
Month = {January},
ISSN = {0040-9383},
Doi = {10.1016/0040-9383(89)90012-8},
Key = {fds287378}
}
@article{fds287379,
Author = {Pardon, WL},
Title = {The L2-∂-cohomology of an algebraic
surface},
Journal = {Topology},
Volume = {28},
Number = {2},
Pages = {171-195},
Publisher = {Elsevier BV},
Year = {1989},
Month = {January},
ISSN = {0040-9383},
Doi = {10.1016/0040-9383(89)90019-0},
Key = {fds287379}
}
@article{fds287375,
Author = {Hsiang, WC and Pardon, W},
Title = {When are topologically equivalent orthogonal transformations
linearly equivalent?},
Journal = {Inventiones Mathematicae},
Volume = {68},
Number = {2},
Pages = {275-316},
Publisher = {Springer Nature},
Year = {1982},
Month = {June},
ISSN = {0020-9910},
Doi = {10.1007/BF01394060},
Key = {fds287375}
}
@article{fds324405,
Author = {Pardon, W},
Title = {The exact sequence of a localization for witt groups II:
Numerical invariants of odd-dimensional surgery
obstructions},
Journal = {Pacific Journal of Mathematics},
Volume = {102},
Number = {1},
Pages = {123-170},
Publisher = {Mathematical Sciences Publishers},
Year = {1982},
Month = {January},
Abstract = {The propose of this paper is to define numerical invariants
of odd-dimensional surgery obstructions, computable in a way
similar to that used to compute the index and Arf invariants
of even-dimensional surgery obstructions. The main result is
that a system of integral congruences (“numerical
invariants”) suffices, modulo the projective class group,
to determine whether or not an odd-dimensional surgery
obstruction vanishes, when the f undumental group is a
finite 2-group. In addition, the numerical invariants turn
out to be Euler characteristics in certain cases of
topological interest, including the existence of product
formulas. © 1982, University of California, Berkeley. All
Rights Reserved.},
Doi = {10.2140/pjm.1982.102.123},
Key = {fds324405}
}
@article{fds324406,
Author = {Hsiang, WC and Pardon, W},
Title = {Orthogonal transformations for which topological equivalence
implies linear equivalence},
Journal = {Bulletin of the American Mathematical Society},
Volume = {6},
Number = {3},
Pages = {456-461},
Publisher = {American Mathematical Society (AMS)},
Year = {1982},
Month = {January},
Doi = {10.1090/S0273-0979-1982-15016-9},
Key = {fds324406}
}
@article{fds287376,
Author = {Pardon, W},
Title = {Mod 2 semi-characteristics and the converse to a theorem of
Milnor},
Journal = {Mathematische Zeitschrift},
Volume = {171},
Number = {3},
Pages = {247-268},
Publisher = {Springer Nature},
Year = {1980},
Month = {October},
ISSN = {0025-5874},
Doi = {10.1007/BF01214991},
Key = {fds287376}
}
@article{fds287377,
Author = {Bass, H and Pardon, W},
Title = {Some hybrid symplectic group phenomena},
Journal = {Journal of Algebra},
Volume = {53},
Number = {2},
Pages = {327-333},
Publisher = {Elsevier BV},
Year = {1978},
Month = {January},
ISSN = {0021-8693},
Doi = {10.1016/0021-8693(78)90278-8},
Key = {fds287377}
}
@article{fds287374,
Author = {Pardon, W},
Title = {An invariant determining the Witt class of a unitary
transformation over a semisimple ring},
Journal = {Journal of Algebra},
Volume = {44},
Number = {2},
Pages = {396-410},
Publisher = {Elsevier BV},
Year = {1977},
Month = {January},
ISSN = {0021-8693},
Doi = {10.1016/0021-8693(77)90190-9},
Key = {fds287374}
}
@article{fds324407,
Author = {Pardon, W},
Title = {Local surgery and applications to the theory of quadratic
forms},
Journal = {Bulletin of the American Mathematical Society},
Volume = {82},
Number = {1},
Pages = {131-133},
Publisher = {American Mathematical Society (AMS)},
Year = {1976},
Month = {January},
Doi = {10.1090/S0002-9904-1976-13992-4},
Key = {fds324407}
}
@article{fds10353,
Author = {Mark Goresky and William L. Pardon},
Title = {Chern classes of modular varieties},
Journal = {Inventiones Math., v. 147 (2002), 561-612},
Abstract = {We extend the Chern classes of automorphic vector bundles on
Hermitian locally symmetric spaces over the
Baily-Borel-Satake (BBS) compactification in a canonical
way. We find the relation of our classes to the MacPherson
classes and obtain new information about the cohomology of
the BBS compactification.},
Key = {fds10353}
}
@article{fds9796,
Author = {William Pardon and Mark Stern},
Title = {Pure Hodge Structure on the L2-cohomology of Varieties with
Isolated Singularities},
Journal = {Journal fur die Reine und Angewandte Mathematik, v. 533
(2001), 55-80},
url = {http://www.math.duke.edu/~wlp/},
Key = {fds9796}
}
@article{fds9436,
Author = {William L. Pardon and Mark Stern},
Title = {L2 -- a cohomology of Complex Projective
Varieties},
Journal = {Journal of AMS, 4, 1991, pp. 603-621},
Key = {fds9436}
}
@article{fds9433,
Author = {William L. Pardon and M. Goresky},
Title = {Wu Numbers for Singular Spaces},
Journal = {Topology, 28, 1989, pp. 325-367},
Key = {fds9433}
}
@article{fds9435,
Author = {William L. Pardon},
Title = {The L2 -d-bar -cohomology of an Algebraic
Surface},
Journal = {Topology, 28, 1989, pp. 171-195},
Key = {fds9435}
}
@article{fds9437,
Author = {J. Fox and P. Haskell and William L. Pardon},
Title = {Two Themes in Index Theory on Singular Varieties},
Journal = {Proc. Summer Inst. on K-Theory and Operator Algebras,
1988},
Key = {fds9437}
}
@article{fds9434,
Author = {M. Goresky and William L. Pardon},
Title = {Cobordism of Singular Spaces},
Journal = {Journees de Geometrie, Publications IRMA de l'U. de Lille,
1986 (summary of [15]},
Key = {fds9434}
}
@article{fds9431,
Author = {William L. Pardon},
Title = {Zero-Cycles and Witt Groups},
Journal = {Proceedings of the Conference on Algebraic K-Theory,
Bielefeld, 1982, Springer Lecture Notes in Mathematics, No.
1046, pp. 261-328},
Key = {fds9431}
}
@article{fds9430,
Author = {William L. Pardon},
Title = {A Gersten Conjecture for Witt Groups},
Journal = {Proceedings of the Conference on Algebraic K-Theory,
Oberwolfach, 1980, Springer Lecture Notes in Mathematics,
No. 967, pp. 300-315},
Key = {fds9430}
}
@article{fds9426,
Author = {William L. Pardon},
Title = {Some Hybrid Symplectic-Orthogonal Group Phenomena in
Characteristic Four},
Journal = {Journal of Algebra, 53, 1978, pp. 327-33.},
Key = {fds9426}
}
@article{fds9422,
Author = {William L. Pardon},
Title = {Local Surgery Theory and A Localization Sequence for Wall
Groups},
Journal = {Memoirs of the American Mathematical Society, No. 196,
November 1977},
Key = {fds9422}
}
@article{fds9425,
Author = {William L. Pardon},
Title = {The Exact Sequence of a Localization for Witt
Groups},
Journal = {Proceedings of Conference on Algebraic K-Theory, Lecture
Notes in Mathematics, Springer-Verlag 551, 1976, pp.
336-79},
Key = {fds9425}
}
@article{fds9439,
Author = {William L. Pardon},
Title = {Hermitian K-Theory in Topology: A Survey of Some Recent
Results},
Journal = {Proceedings of Conference on Algebraic K-Theory, Lecture
Notes in Mathematics, Springer-Verlag 551, 1976, pp.
336-79},
Key = {fds9439}
}
%% Preprints
@article{fds9744,
Author = {William Pardon},
Title = {The filtered Gersten-Witt resolution for regular
schemes},
url = {http://www.math.duke.edu/~wlp/},
Key = {fds9744}
}