The variety of characters in PSL(2,C)

Abstract

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

Cited by in corpus (16)

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