Some recent results about the $\mathrm{SL}_n(\mathbb{C})$–representation spaces of knot groups

Michael Heusener

doi:10.5802/tsg.307

Some recent results about the

{SL}_{n} (ℂ)

–representation spaces of knot groups

Michael Heusener ^1,²

¹ Université Clermont Auvergne Université Blaise Pascal Laboratoire de Mathématiques BP 10448 63000 Clermont-Ferrand (France)
² and CNRS, UMR 6620, LM 63178 Aubiere (France)

Séminaire de théorie spectrale et géométrie, Volume 32 (2014-2015), pp. 137-161.

Abstract

This survey reviews some facts about about the representation and character varieties of knot groups into ${SL}_{n} (ℂ)$ with $n \geq 3$ are presented. This concerns mostly joint work of the author with L. Ben Abdelghani, O. Medjerab, V. Muños and J. Porti.

DOI: 10.5802/tsg.307

Classification: 57M25, 57M05, 57M27
Keywords: knot group, representation variety, character variety

Author's affiliations:

Michael Heusener ^{1, 2}

¹ Université Clermont Auvergne Université Blaise Pascal Laboratoire de Mathématiques BP 10448 63000 Clermont-Ferrand (France)
² and CNRS, UMR 6620, LM 63178 Aubiere (France)

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Michael Heusener. Some recent results about the $\mathrm{SL}_n(\mathbb{C})$–representation spaces of knot groups. Séminaire de théorie spectrale et géométrie, Volume 32 (2014-2015), pp. 137-161. doi : 10.5802/tsg.307. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.307/

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