English

McKay correspondence for elliptic genera

Algebraic Geometry 2007-05-23 v1

Abstract

We establish a correspondence between orbifold and singular elliptic genera of a global quotient. While the former is defined in terms of the fixed point set of the action, the latter is defined in terms of the resolution of singularities. As a byproduct, the second quantization formula of Dijkgraaf, Moore, Verlinde and Verlinde is extended to arbitrary Kawamata log-terminal pairs.

Keywords

Cite

@article{arxiv.math/0206241,
  title  = {McKay correspondence for elliptic genera},
  author = {Lev Borisov and Anatoly Libgober},
  journal= {arXiv preprint arXiv:math/0206241},
  year   = {2007}
}

Comments

39 pages, 1 figure, Latex