McKay correspondence for elliptic genera

• Autores: Anatoly Libgober, Lev A. Borisov
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 161, Nº 3, 2005, págs. 1521-1569
• Idioma: inglés
• DOI: 10.4007/annals.2005.161.1521
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• Resumen

  • 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.