The Witten genus and equivariant elliptic cohomology

2000/08/25 by Matthew Ando, Ando, Matthew, Maria Basterra +1
Mathematics · #57R91 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #math.AT #msc:57R91

paper · pdf · doi:10.48550/arxiv.math/0008192

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

openalex publication_date 2000/08/25 · arxiv created 2001/07/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Elliptic Algebras and Equivariant Elliptic Cohomology

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