The sigma orientation for analytic circle-equivariant elliptic cohomology

@inproceedings{Ando2003TheSO,
  title={The sigma orientation for analytic circle-equivariant elliptic cohomology},
  author={Matthew Ando},
  year={2003}
}
We construct a canonical Thom isomorphism in Grojnowski's equivariant elliptic cohomology, for virtual T-oriented T-equivariant spin bundles with vanishing Borel-equivariant second Chern class, which is natural under pull-back of vector bundles and exponential under Whitney sum. It extends in the complex-analytic case the non-equivariant sigma orientation of Hopkins, Strickland, and the author. The construction relates the sigma orientation to the representation theory of loop groups and… CONTINUE READING

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