Witten Genus and Elliptic genera for proper actions
Differential Geometry
2022-01-26 v4 High Energy Physics - Theory
Operator Algebras
Abstract
In this paper, we construct for the first time, the Witten genus and elliptic genera on noncompact manifolds with a proper cocompact action by an almost connected Lie group and prove vanishing and rigidity results that generalise known results for compact group actions on compact manifolds. We also compute our genera for some interesting examples, and study the non-spinc case in an appendix.
Cite
@article{arxiv.1807.06863,
title = {Witten Genus and Elliptic genera for proper actions},
author = {Fei Han and Varghese Mathai},
journal= {arXiv preprint arXiv:1807.06863},
year = {2022}
}
Comments
30 pages. To appear in CMP