McKay correspondence for elliptic genera

• 成果类型: Article
• 署名作者: Borisov, L; Libgober, A
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2005.161.1521
• 发表日期: 2005
• 页码: 1521-1569
• 关键词: singularities; EQUIVALENCE; VARIETIES

摘要

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.