Witten genera of complete intersections
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917175891066880 |
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| author | Wiemeler, Michael |
| author_facet | Wiemeler, Michael |
| contents | We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous $\text{Spin}^c$-manifolds and in other $\text{Spin}^c$-manifolds with Lie group actions. By applying these results to Fano manifolds with second Betti number equal to one we get new evidence for a conjecture of Stolz. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21412 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Witten genera of complete intersections Wiemeler, Michael Geometric Topology Differential Geometry 14J45, 14M10, 53C27, 57S15, 58J26 We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous $\text{Spin}^c$-manifolds and in other $\text{Spin}^c$-manifolds with Lie group actions. By applying these results to Fano manifolds with second Betti number equal to one we get new evidence for a conjecture of Stolz. |
| title | Witten genera of complete intersections |
| topic | Geometric Topology Differential Geometry 14J45, 14M10, 53C27, 57S15, 58J26 |
| url | https://arxiv.org/abs/2410.21412 |