Deformations of reducible representations of 3-manifold groups into PSL_2(C)

Michael Heusener (1) , Joan Porti

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

Let M a 3-manifold with torus boundary which is a rational homology circle. We study deformations of reducible representations of p_1(M) into PSL_2(C) associated to a simple zero of the twisted Alexander polynomial. We also describe the local structure of the representation and character varieties.

Domaines: Topologie géométrique [math.GT]

Michael Heusener, Joan Porti. Deformations of reducible representations of 3-manifold groups into PSL_2(C). Algebraic and Geometric Topology, 2005, 5, pp.965-997. ⟨10.2140/agt.2005.5.965⟩. ⟨hal-00358605⟩