Character varieties, hexagonal 3-webs and Hess connection
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915381718810624 |
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| author | Diaw, Adjaratou Arame Diarra, Karamoko Loray, Frank Bertuel, Tangue Ndawa |
| author_facet | Diaw, Adjaratou Arame Diarra, Karamoko Loray, Frank Bertuel, Tangue Ndawa |
| contents | We investigate the existence of some affine structure on SL 2 (C)-character varieties on the four-punctured sphere through web and symplectic geometry. This work provides a new proof of non integrability (i.e. irreducibility) of Painlev{é} VI equations, previously proved by S. Cantat and the third author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07542 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Character varieties, hexagonal 3-webs and Hess connection Diaw, Adjaratou Arame Diarra, Karamoko Loray, Frank Bertuel, Tangue Ndawa Algebraic Geometry Complex Variables Symplectic Geometry We investigate the existence of some affine structure on SL 2 (C)-character varieties on the four-punctured sphere through web and symplectic geometry. This work provides a new proof of non integrability (i.e. irreducibility) of Painlev{é} VI equations, previously proved by S. Cantat and the third author. |
| title | Character varieties, hexagonal 3-webs and Hess connection |
| topic | Algebraic Geometry Complex Variables Symplectic Geometry |
| url | https://arxiv.org/abs/2507.07542 |