Several new Witten rigidity theorems for spin$^c$ manifolds
Differential Geometry
2025-12-19 v1
Abstract
Using Liu's modular invariance method and its odd-dimensional extension by Han and Yu, we establish new Witten rigidity theorems for the generalized Witten genus of twisted Dirac operators on even-dimensional spin manifolds and twisted Toeplitz operators on odd-dimensional spin manifolds with circle actions.
Keywords
Cite
@article{arxiv.2512.16088,
title = {Several new Witten rigidity theorems for spin$^c$ manifolds},
author = {Jianyun Guan and Kefeng Liu and Yong Wang},
journal= {arXiv preprint arXiv:2512.16088},
year = {2025}
}