The variety of characters in PSL(2,C)

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We study some basic properties of the variety of characters in PSL(2,C) of a finitely generated group. In particular we give an interpretation of its points as characters of representations. We construct 3-manifolds whose variety of characters has arbitrarily many components that do not lift to SL(2,C). We also study the singular locus of the variety of characters of a free group.
Final version published by Sociedad Matematica Mexicana. Boletin

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Geometric Topology, 57M50, 57M05, 20C15

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http://salesiana.dossiersoluciones.com/handle/123456789/166172

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302075
 http://arxiv.org/abs/math/0302075
 Bol. Soc. Mat. Mexicana (3) 10 (2004), Special Issue, 221--237

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arXiv