Geodesic
McKay correspondence for elliptic genera
Lev Borisov1 ; Anatoly Libgober2
1 Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706, United States
2 Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL 60607, United States
Annals of mathematics, Tome 161 (2005) no. 3, pp. 1521-1569 Cet article a éte moissonné depuis la source Annals of Mathematics website

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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.

DOI : 10.4007/annals.2005.161.1521

Lev Borisov 1 ; Anatoly Libgober 2

1 Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706, United States
2 Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL 60607, United States 
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Lev Borisov; Anatoly Libgober. McKay correspondence for elliptic genera. Annals of mathematics, Tome 161 (2005) no. 3, pp. 1521-1569. doi: 10.4007/annals.2005.161.1521

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