Mixed Hodge structures on character varieties of nilpotent groups
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910814274846720 |
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| author | Florentino, Carlos Lawton, Sean Silva, Jaime |
| author_facet | Florentino, Carlos Lawton, Sean Silva, Jaime |
| contents | Let R be the connected component of the identity of the variety of representations of a finitely generated nilpotent group N into a connected reductive complex affine algebraic group G. We determine the mixed Hodge structure on the representation variety R and on the character variety R//G. We obtain explicit formulae (both closed and recursive) for the mixed Hodge polynomial of these representation and character varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_07060 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Mixed Hodge structures on character varieties of nilpotent groups Florentino, Carlos Lawton, Sean Silva, Jaime Algebraic Geometry Representation Theory 14M35, 32S35 (Primary), 14L30 (Secondary) Let R be the connected component of the identity of the variety of representations of a finitely generated nilpotent group N into a connected reductive complex affine algebraic group G. We determine the mixed Hodge structure on the representation variety R and on the character variety R//G. We obtain explicit formulae (both closed and recursive) for the mixed Hodge polynomial of these representation and character varieties. |
| title | Mixed Hodge structures on character varieties of nilpotent groups |
| topic | Algebraic Geometry Representation Theory 14M35, 32S35 (Primary), 14L30 (Secondary) |
| url | https://arxiv.org/abs/2110.07060 |