McKay correspondence for elliptic genera

Lev Borisov; Anatoly Libgober

doi:10.4007/annals.2005.161.1521

McKay correspondence for elliptic genera

Lev Borisov, Anatoly Libgober

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1521-1569
Number of pages	49
Journal	Annals of Mathematics
Volume	161
Issue number	3
DOIs	https://doi.org/10.4007/annals.2005.161.1521
State	Published - May 2005
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.4007/annals.2005.161.1521

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title = "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.",

author = "Lev Borisov and Anatoly Libgober",

year = "2005",

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doi = "10.4007/annals.2005.161.1521",

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AB - 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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JO - Annals of Mathematics

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McKay correspondence for elliptic genera

Abstract

All Science Journal Classification (ASJC) codes

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