On the Z_2-valued index of elliptic odd symmetric operators on non-compact manifolds
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929614142570496 |
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| author | Braverman, Maxim Sadegh, Ahmad Reza Haj Saeedi |
| author_facet | Braverman, Maxim Sadegh, Ahmad Reza Haj Saeedi |
| contents | We investigate elliptic operators with a symmetry that forces their index to vanish. We study the secondary index, defined modulo 2. We examine Callias-type operators with this symmetry on non-compact manifolds and establish mod 2 versions of the Gromov-Lawson relative index theorem, the Callias index theorem, and the Boutet de Monvel's index theorem for Toeplitz operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13999 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Z_2-valued index of elliptic odd symmetric operators on non-compact manifolds Braverman, Maxim Sadegh, Ahmad Reza Haj Saeedi Differential Geometry 58J20, 19K56, 58J22 We investigate elliptic operators with a symmetry that forces their index to vanish. We study the secondary index, defined modulo 2. We examine Callias-type operators with this symmetry on non-compact manifolds and establish mod 2 versions of the Gromov-Lawson relative index theorem, the Callias index theorem, and the Boutet de Monvel's index theorem for Toeplitz operators. |
| title | On the Z_2-valued index of elliptic odd symmetric operators on non-compact manifolds |
| topic | Differential Geometry 58J20, 19K56, 58J22 |
| url | https://arxiv.org/abs/2403.13999 |