Equivariant elliptic genera

Robert Waelder

Vol. 235 (2008), No. 2, 345–377

DOI: 10.2140/pjm.2008.235.345

Abstract

We introduce the equivariant elliptic genus for open varieties and prove an equivariant version of the change of variable formula for blow-ups along complete intersections. In addition, we prove the equivariant elliptic genus analogue of the McKay correspondence for the ALE spaces.

Keywords

elliptic genus, equivariant cohomology, McKay correspondence, rigidity

Mathematical Subject Classification 2000

Primary: 14E99

Secondary: 57R91

Milestones

Received: 28 September 2007

Accepted: 17 January 2008

Published: 1 April 2008