On the Witten Rigidity Theorem for Odd Dimensional Manifolds
Differential Geometry
2015-04-24 v2
Abstract
We establish several Witten type rigidity and vanishing theorems for twisted Toeplitz operators on odd dimensional manifolds. We obtain our results by combining the modular method, modular transgression and some careful analysis of odd Chern classes for cocycles in odd -theory. Moreover we discover that in odd dimensions, the fundamental group of manifolds plays an important role in the rigidity.
Cite
@article{arxiv.1504.03007,
title = {On the Witten Rigidity Theorem for Odd Dimensional Manifolds},
author = {Fei Han and Jianqing Yu},
journal= {arXiv preprint arXiv:1504.03007},
year = {2015}
}
Comments
32 pages; minor modifications