McKay correspondence for elliptic genera

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.

Authors

Lev Borisov

Department of Mathematics
University of Wisconsin-Madison
Madison, WI 53706
United States

Anatoly Libgober

Department of Mathematics, Statistics, and Computer Science
University of Illinois at Chicago
Chicago, IL 60607
United States