Deformations of reducible representations of 3-manifold groups into PSL_2(C)
arXiv:math/0411365 · doi:10.2140/agt.2005.5.965
Abstract
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.
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-40.abs.html
Cited by in corpus (9)
- Orderability and Dehn filling
- Representations of knot groups into and twisted Alexander polynomials
- Character varieties, A-polynomials, and the AJ Conjecture
- Finite Dehn surgeries on knots in
- Metabelian SL(n,C) representations of knot groups, III: deformations
- Hyperbolic structures from Sol on pseudo-Anosov mapping tori
- A unified Casson-Lin invariant for the real forms of SL(2)
- Representations of the (-2,3,7)-Pretzel Knot and Orderability of Dehn Surgeries
- On the topology of character varieties of once-punctured torus bundles