Michael Heusener, Joan Porti
Published 2003-02-07, updated 2008-08-01Version 2
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.
Comments: Final version published by Sociedad Matematica Mexicana. Boletin
Journal: Bol. Soc. Mat. Mexicana (3) 10 (2004), Special Issue, 221--237
Embedded spheres in S^2\times S^1#...#S^2\times S^1
On Parallel Lines and Free Group
Topological symmetries of simply-connected four-manifolds and actions of automorphism groups of free groups
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