Explicit formulas for mixed Hodge polynomials of character varieties of nilpotent groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916472650989568 |
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| author | Li, Ruoxi Singh, Rahul |
| author_facet | Li, Ruoxi Singh, Rahul |
| contents | Let $Hom^0(Γ,G)$ be the path-connected component of the identity representation of the variety of representations of a finitely generated nilpotent group $Γ$ into a connected reductive complex affine algebraic group $G$. With the formulas given by Florentino, Lawton and Silva, we provide explicit partition type formulas for the mixed Hodge polynomials of character varieties $Hom^0(Γ,G)// G$ when $G=Sp_{2n}$ and $G=SO_{n}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10008 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Explicit formulas for mixed Hodge polynomials of character varieties of nilpotent groups Li, Ruoxi Singh, Rahul Algebraic Geometry 14 Let $Hom^0(Γ,G)$ be the path-connected component of the identity representation of the variety of representations of a finitely generated nilpotent group $Γ$ into a connected reductive complex affine algebraic group $G$. With the formulas given by Florentino, Lawton and Silva, we provide explicit partition type formulas for the mixed Hodge polynomials of character varieties $Hom^0(Γ,G)// G$ when $G=Sp_{2n}$ and $G=SO_{n}$. |
| title | Explicit formulas for mixed Hodge polynomials of character varieties of nilpotent groups |
| topic | Algebraic Geometry 14 |
| url | https://arxiv.org/abs/2410.10008 |