On a conjecture of Stolz in the toric case
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909367142449152 |
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| author | Wiemeler, Michael |
| author_facet | Wiemeler, Michael |
| contents | In 1996 Stolz conjectured that a string manifold with positive Ricci curvature has vanishing Witten genus. Here we prove this conjecture for toric string Fano manifolds and for string torus manifolds admitting invariant metrics of non-negative sectional curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08456 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On a conjecture of Stolz in the toric case Wiemeler, Michael Differential Geometry Geometric Topology 58J26, 57S12, 14J45 In 1996 Stolz conjectured that a string manifold with positive Ricci curvature has vanishing Witten genus. Here we prove this conjecture for toric string Fano manifolds and for string torus manifolds admitting invariant metrics of non-negative sectional curvature. |
| title | On a conjecture of Stolz in the toric case |
| topic | Differential Geometry Geometric Topology 58J26, 57S12, 14J45 |
| url | https://arxiv.org/abs/2310.08456 |