Global Kuranishi charts and a product formula in symplectic Gromov-Witten theory
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866909265752489984 |
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| author | Hirschi, Amanda Swaminathan, Mohan |
| author_facet | Hirschi, Amanda Swaminathan, Mohan |
| contents | We construct global Kuranishi charts for the moduli spaces of stable pseudoholomorphic maps to a closed symplectic manifold in all genera. This is used to prove a product formula for symplectic Gromov-Witten invariants. As a consequence we obtain a Künneth formula for quantum cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_11797 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Global Kuranishi charts and a product formula in symplectic Gromov-Witten theory Hirschi, Amanda Swaminathan, Mohan Symplectic Geometry Algebraic Geometry 53D45, 14N35 We construct global Kuranishi charts for the moduli spaces of stable pseudoholomorphic maps to a closed symplectic manifold in all genera. This is used to prove a product formula for symplectic Gromov-Witten invariants. As a consequence we obtain a Künneth formula for quantum cohomology. |
| title | Global Kuranishi charts and a product formula in symplectic Gromov-Witten theory |
| topic | Symplectic Geometry Algebraic Geometry 53D45, 14N35 |
| url | https://arxiv.org/abs/2212.11797 |