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The Witten genus and equivariant elliptic cohomology

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Abstract.

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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Authors and Affiliations

  1. Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana IL 61801, USA (e-mail: {mando, basterra}@math.uiuc.edu) , , , , , , US

    Matthew Ando & Maria Basterra

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  1. Matthew Ando
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  2. Maria Basterra
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Received: 24 May 2001; in final form: 4 October 2001 / Published online: 28 February 2002

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Ando, M., Basterra, M. The Witten genus and equivariant elliptic cohomology. Math Z 240, 787–822 (2002). https://doi.org/10.1007/s002090100399

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  • DOI: https://doi.org/10.1007/s002090100399

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