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arXiv · 1911.11015

Supersymmetric localization, modularity and the Witten genus

Daniel Berwick-Evans
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Abstract

Equivariant localization techniques give a rigorous interpretation of the Witten genus as an integral over the double loop space. This provides a geometric explanation for its modularity properties. It also reveals an interplay between the geometry of double loop spaces and complex analytic elliptic cohomology. In particular, we identify a candidate target for the elliptic Bismut-Chern character.

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Daniel Berwick-Evans. 2019-11-25. Supersymmetric localization, modularity and the Witten genus. https://arxiv.org/abs/1911.11015

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