Several new Witten rigidity theorems for elliptic genus
Differential Geometry
2024-12-23 v2
Abstract
Using the Liu's method, we prove a new Witten rigidity theorem of elliptic genus of twisted Dirac operators in even dimensional spin manifolds under the circle action. Combined with the Han-Yu's method, we prove the Witten rigidity theorems of elliptic genus of twisted Toplitz operators of odd-dimensional spin manifolds under the circle action. Moreover, we have obtained several similar Witten rigidity theorems of elliptic genus.
Keywords
Cite
@article{arxiv.2412.14567,
title = {Several new Witten rigidity theorems for elliptic genus},
author = {Jianyun Guan and Kefeng Liu and Yong Wang},
journal= {arXiv preprint arXiv:2412.14567},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2401.06944. text overlap with arXiv:1504.03007 by other authors