3 citations · 3 across the 1 of their papers we have counts for
4 papers
Discrete torsion for the supersingular orbifold sigma genus
Matthew Ando, Christopher P. French
The first purpose of this paper is to examine the relationship between equivariant elliptic genera and orbifold elliptic genera. We apply the character theory of Hopkins et. al. to…
The sigma orientation is an H-infinity map
Matthew Ando, Michael J. Hopkins, Neil P. Strickland
In "Elliptic spectra, the Witten genus, and the Theorem of the cube" (Invent. Math. 146 (2001)), the authors constructed a natural map from the Thom spectrum MU<6> to any elliptic…
A renormalized Riemann-Roch formula and the Thom isomorphism for the free loop space
Matthew Ando, Jack Morava
Let E be a circle-equivariant complex-orientable cohomology theory. We show that the fixed-point formula applied to the free loopspace of a manifold X can be understood as a Rieman…
The Witten genus and equivariant elliptic cohomology
Matthew Ando, Maria Basterra
We construct a Thom class in complex equivariant elliptic cohomology extending the equivariant Witten genus. This gives a new proof of the rigidity of the Witten genus, which exhib…