Supersymmetric localization, modularity and the Witten genus
Algebraic Topology
2019-11-26 v1 Mathematical Physics
Differential Geometry
math.MP
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.
Cite
@article{arxiv.1911.11015,
title = {Supersymmetric localization, modularity and the Witten genus},
author = {Daniel Berwick-Evans},
journal= {arXiv preprint arXiv:1911.11015},
year = {2019}
}
Comments
20 pages