The variety of characters in PSL(2,C)

Details The variety of characters in PSL(2,C) The variety of characters in PSL(2,C)

2003-02-07

arxiv.org/abs/math/0302075v2

Bol. Soc. Mat. Mexicana (3) 10 (2004), Special Issue, 221--237

Mathematics

Geometric Topology

Final version published by Sociedad Matematica Mexicana. Boletin

Scientific paper

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.

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