The Witten genus and equivariant elliptic cohomology

Details The Witten genus and equivariant elliptic cohomology The Witten genus and equivariant elliptic cohomology

2000-08-25

arxiv.org/abs/math/0008192v3

Mathematics

Algebraic Topology

22 pages. Added section on example of virtual bundles over a point

Scientific paper

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 exhibits a close relationship to recent work on
non-equivariant orientations of elliptic spectra.

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