Several new Witten rigidity theorems for spin$^c$ manifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866918254564343808 |
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| author | Guan, Jianyun Liu, Kefeng Wang, Yong |
| author_facet | Guan, Jianyun Liu, Kefeng Wang, Yong |
| contents | 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$^c$ manifolds and twisted Toeplitz operators on odd-dimensional spin$^c$ manifolds with circle actions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16088 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Several new Witten rigidity theorems for spin$^c$ manifolds Guan, Jianyun Liu, Kefeng Wang, Yong Differential Geometry 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$^c$ manifolds and twisted Toeplitz operators on odd-dimensional spin$^c$ manifolds with circle actions. |
| title | Several new Witten rigidity theorems for spin$^c$ manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2512.16088 |