Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.14567 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915072556662784 |
|---|---|
| author | Guan, Jianyun Liu, Kefeng Wang, Yong |
| author_facet | Guan, Jianyun Liu, Kefeng Wang, Yong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14567 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Several new Witten rigidity theorems for elliptic genus Guan, Jianyun Liu, Kefeng Wang, Yong Differential Geometry 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. |
| title | Several new Witten rigidity theorems for elliptic genus |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2412.14567 |