Deformations of reducible representations of 3–manifold groups into PSL2(ℂ)

Heusener, Michael¹ ; Porti, Joan²

¹Laboratoire de Mathématiques, Université Blaise Pascal, 63177 Aubière Cedex, France
²Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain

Algebraic and Geometric Topology, Tome 5 (2005) no. 3, pp. 965-997

Résumé

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(ℂ) associated to a simple zero of the twisted Alexander polynomial. We also describe the local structure of the representation and character varieties.

Détail

DOI : 10.2140/agt.2005.5.965

Keywords: variety of representations, character variety, rational homology circle

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