Abstract
We use equivariant localization techniques to 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.
Citation
Daniel Berwick-Evans. "Supersymmetric localization, modularity and the Witten genus." J. Differential Geom. 126 (2) 401 - 430, February 2024. https://doi.org/10.4310/jdg/1712344216
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