Asian Journal of Mathematics

Volume 12 (2008)

Number 2

Equivariant Elliptic Genera and Local McKay Correspondences

Pages: 251 – 284

DOI: https://dx.doi.org/10.4310/AJM.2008.v12.n2.a7

Author

Robert Waelder

Abstract

In this paper we prove an equivariant version of the McKay correspondence for the elliptic genus on open varieties with a torus action. As a consequence, we will prove the equivariant DMVV formula for the Hilbert scheme of points on C².

Keywords

Elliptic genus, equivariant cohomology, McKay, localization, Hilbert scheme

2010 Mathematics Subject Classification

Primary 14E99. Secondary 55N91.

Published 1 January 2008