The Witten Genus and Equivariant Elliptic Cohomology

  title={The Witten Genus and Equivariant Elliptic Cohomology},
  author={M. Ando and 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 exhibits a close relationship to recent work on non-equivariant orientations of elliptic spectra. 

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