Asian Journal of Mathematics

Volume 12 (2008)

Number 2

Equivariant Elliptic Genera and Local McKay Correspondences

Pages: 251 – 284



Robert Waelder


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.


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

2010 Mathematics Subject Classification

Primary 14E99. Secondary 55N91.

Published 1 January 2008