Local coordinates for SL(n,C) character varieties of finite volume hyperbolic 3-manifolds

Details Local coordinates for SL(n,C) character varieties of finite volume hyperbolic 3-manifolds Local coordinates for SL(n,C) character varieties of finite volume hyperbolic 3-manifolds

2011-11-18

arxiv.org/abs/1111.4338v1

Mathematics

Geometric Topology

13 pages

Scientific paper

Given a finite volume hyperbolic 3-manifold, we compose a lift of the holonomy in SL(2,C) with the n-dimensional irreducible representation of SL(2,C) in SL(n,C). In this paper we give local coordinates of the SL(n,C)-character variety around this representation. As a corollary, this representation is isolated among all representations that are unipotent at the cusps.

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