Representation varieties of twisted Hopf links
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866909111128424448 |
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| author | González-Prieto, Ángel Muñoz, Vicente |
| author_facet | González-Prieto, Ángel Muñoz, Vicente |
| contents | We study the representation theory of the fundamental group of the complement of a Hopf link with n twists. A general framework is described to analyze the $SL_r(C)$-representation varieties of these twisted Hopf links as byproduct of a combinatorial problem and equivariant Hodge theory. As application, close formulas of their E-polynomials are provided for ranks 2 and 3, both for the representation and character varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_07090 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Representation varieties of twisted Hopf links González-Prieto, Ángel Muñoz, Vicente Geometric Topology Algebraic Geometry 57K31, 14D20, 14C30 We study the representation theory of the fundamental group of the complement of a Hopf link with n twists. A general framework is described to analyze the $SL_r(C)$-representation varieties of these twisted Hopf links as byproduct of a combinatorial problem and equivariant Hodge theory. As application, close formulas of their E-polynomials are provided for ranks 2 and 3, both for the representation and character varieties. |
| title | Representation varieties of twisted Hopf links |
| topic | Geometric Topology Algebraic Geometry 57K31, 14D20, 14C30 |
| url | https://arxiv.org/abs/2202.07090 |