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

By M. Heusener, J. Porti. 2004

47 citations recorded by the source corpus.

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. AMS Classification 57M27; 20C99; 57M05

View Paper: https://www.semanticscholar.org/paper/1948000d7686798dbd5267fb3562081ea7970dc4

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Citations in the corpus

• Convex projective structures on nonhyperbolic three-manifolds (2015, result): “Some analogous results from the context of deformations in SL(2,C) and SL(n,C) can be found in Boden–Friedl [5], Heusener–Medjerab [24], and Heusener–Porti–Suárez Peiró [26].”