Geometry of \(\mathrm{SU}(3)\)-character varieties of torus knots

DOI10.1016/j.topol.2023.108586zbMath1521.14092arXiv2207.09170WikidataQ122241292 ScholiaQ122241292MaRDI QIDQ6053450

Vicente Muñoz, Ángel González-Prieto, Javier Martínez-Martínez

Publication date: 27 September 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.09170

zbMATH Keywords

unitary grouptorus knotsrepresentation varietiescharacter variety

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Algebraic moduli problems, moduli of vector bundles (14D20) Character varieties (14M35)

Cites Work

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• Topology of moduli spaces of free group representations in real reductive groups
• Geometry of the \(\mathrm{SL}(3,\mathbb{C})\)-character variety of torus knots
• The \(\mathrm{SU}(2)\)-character varieties of torus knots
• The \(\operatorname{SU}(2)\)-character variety of the closed surface of genus 2
• The \(SL(2, \mathbb C)\)-character varieties of torus knots
• The topology of moduli spaces of free group representations
• Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.
• Topology of character varieties of abelian groups
• Character varieties for real forms
• The topology of nilpotent representations in reductive groups and their maximal compact subgroups.
• Motive of the \(\mathrm{SL}_4\)-character variety of torus knots
• Varieties of representations of finitely generated groups
• The mapping class group action on -character varieties

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