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

Primary: 14E99

Secondary: 57R91

Authors