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2005 Deformations of reducible representations of 3–manifold groups into $\mathrm{PSL}_2(\mathbb{C})$
Michael Heusener, Joan Porti
Algebr. Geom. Topol. 5(3): 965-997 (2005). DOI: 10.2140/agt.2005.5.965

Abstract

Let M be a 3–manifold with torus boundary which is a rational homology circle. We study deformations of reducible representations of π1(M) into PSL2() associated to a simple zero of the twisted Alexander polynomial. We also describe the local structure of the representation and character varieties.

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Michael Heusener. Joan Porti. "Deformations of reducible representations of 3–manifold groups into $\mathrm{PSL}_2(\mathbb{C})$." Algebr. Geom. Topol. 5 (3) 965 - 997, 2005. https://doi.org/10.2140/agt.2005.5.965

Information

Received: 16 November 2004; Revised: 30 May 2005; Accepted: 25 July 2005; Published: 2005
First available in Project Euclid: 20 December 2017

zbMATH: 1082.57007
MathSciNet: MR2171800
Digital Object Identifier: 10.2140/agt.2005.5.965

Subjects:
Primary: 57M27
Secondary: 20C99, 57M05

Rights: Copyright © 2005 Mathematical Sciences Publishers

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