#### Volume 5, issue 3 (2005)

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Deformations of reducible representations of 3–manifold groups into $\mathrm{PSL}_2(\mathbb{C})$

### Michael Heusener and Joan Porti

Algebraic & Geometric Topology 5 (2005) 965–997
 arXiv: math.GT/0411365
##### Abstract

Let $M$ be a 3–manifold with torus boundary which is a rational homology circle. We study deformations of reducible representations of ${\pi }_{1}\left(M\right)$ into ${PSL}_{2}\left(ℂ\right)$ associated to a simple zero of the twisted Alexander polynomial. We also describe the local structure of the representation and character varieties.

##### Keywords
variety of representations, character variety, rational homology circle
##### Mathematical Subject Classification 2000
Primary: 57M27
Secondary: 20C99, 57M05