A generalized winding number formula for the Witten index of a Toeplitz operator
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909466540113920 |
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| author | Izumi, Masaki |
| author_facet | Izumi, Masaki |
| contents | We generalize the winding number formula for the Fredholm index of a Toeplitz operator to the Witten index. We also show trace formulae involving Toeplitz operators and operator monotone functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15436 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A generalized winding number formula for the Witten index of a Toeplitz operator Izumi, Masaki Functional Analysis Operator Algebras 47B35(Primary) 47B10, 47A53(Secondary) We generalize the winding number formula for the Fredholm index of a Toeplitz operator to the Witten index. We also show trace formulae involving Toeplitz operators and operator monotone functions. |
| title | A generalized winding number formula for the Witten index of a Toeplitz operator |
| topic | Functional Analysis Operator Algebras 47B35(Primary) 47B10, 47A53(Secondary) |
| url | https://arxiv.org/abs/2501.15436 |