McKay correspondence for elliptic genera

Details McKay correspondence for elliptic genera McKay correspondence for elliptic genera

2002-06-24

arxiv.org/abs/math/0206241v1

Mathematics

Algebraic Geometry

39 pages, 1 figure, Latex

Scientific paper

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.

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