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… (More)

We show that for infinite measure-preserving transformations, power weak mixing does not imply multiple recurrence. We also show that the infinite measure-preserving “Chacon transformation” known to… (More)

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… (More)

We define the singular orbifold elliptic genus and E-function for all normal surfaces without strictly log-canonical singularities, and prove the analogue of the McKay correspondence in this setting.… (More)

A differential operator D commuting with an S-action is said to be rigid if the non-constant Fourier coefficients of ker D and coker D are the same. Somewhat surprisingly, the study of rigid… (More)

We define the singular elliptic genus for arbitrary normal surfaces, prove that it is a birational invariant, and show that it generalizes the singular elliptic genus of Borisov and Libgober and the… (More)