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Bibliographic Details
Main Authors:	Heusener, Michael, Abdelghani, Leila Ben
Format:	Preprint
Published:	2024
Subjects:	Geometric Topology
Online Access:	https://arxiv.org/abs/2404.09548
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Table of Contents:

We study the local structure of the representation variety of a knot group into SL(n,C) at certain diagonal representations. In particular we determine the tangent cone of the representation variety at these diagonal representations, and show that the latter can be deformed into irreducible representations. Furthermore, we use Luna's slice theorem to analyze the local structure of the character variety.