%% Papers Published
@article{fds43635,
Author = {A. Degeratu},
Title = {Flops of Crepant Resolutions},
Journal = {Proceedings of the 10th Gokova Geometry and Topology
Conference},
Year = {2004},
Abstract = {Let $G$ be a finite subgroup of $SL(3, \IC)$ acting with an
isolated singularity on $\IC^3$. A crepant resolution of
$\IC^3/G$ comes together with a set of tautological line
bundles associated to each irreducible representation of
$G$. In this note we give a formula for the triple product
of the first Chern class of the tautological bundles in
terms of both the geometry of the crepant resolution and the
representation theory of $G$. From here we derive the way
these triple products change when we perform a
flop.},
Key = {fds43635}
}
%% Papers Submitted
@article{fds46036,
Author = {A. Degeratu and K. Wendland},
Title = {Friendly giant meets pointlike instantons? On a new
conjecture by John McKay},
Journal = {to appear in LMS Lecture Notes Series (59
pages)},
Year = {2006},
Month = {February},
Abstract = {A new conjecture due to John McKay claims that there exists
a link between (1) the conjugacy classes of the Monster
sporadic group and its offspring, and (2) the Picard groups
of bases in certain elliptically fibered CalabiYau
threefolds. These CalabiYau spaces arise as Ftheory duals
of pointlike instantons on ADE type quotient singularities.
We believe that this conjecture, may it be true or false,
connects the Monster with a fascinating area of mathematical
physics which is yet to be fully explored and exploited by
mathematicians. This article aims to clarify the statement
of McKay's conjecture and to embed it into the mathematical
context of heterotic/Ftheory stringstring
dualities.},
Key = {fds46036}
}
@article{fds43636,
Author = {A. Degeratu},
Title = {Geometrical McKay Correspondence for Isolated
Singularities},
Year = {2003},
url = {http://arxiv.org/abs/math/0302068},
Abstract = {A CalabiYau orbifold is locally modeled on $\IC^n/G$ where
$G$ is a finite subgroup of $SL(n, \IC)$. For $n=3$ and $G$
acting with an isolated singularity on $\IC^3$ we give a
description of any crepant resolution of $\IC^3/G$ as a
GIT/symplectic quotient. We use tools from global analysis
to give a geometrical generalization of the McKay
Correspondence to this case.},
Key = {fds43636}
}
%% Preprints
@article{fds28669,
Author = {A. Degeratu and M.Stern},
Title = {The Positive Mass Conjecture for NonSpin
Manifolds},
Year = {2004},
Month = {December},
url = {http://arxiv.org/abs/math/0412151},
Key = {fds28669}
}
%% Other
@misc{fds21374,
Author = {A. Degeratu},
Title = {Eta Invariants and Molien series for Unimodular
Groups},
Booktitle = {PhD Thesis, MIT},
Year = {2001},
Key = {fds21374}
}
