The variety of characters in PSL(2,C)

Michael Heusener; Joan Porti

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arXiv · math/0302075

The variety of characters in PSL(2,C)

Michael Heusener·Joan Porti

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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.

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BibTeX RIS

Michael Heusener, Joan Porti. 2008-08-01. The variety of characters in PSL(2,C). https://arxiv.org/abs/math/0302075

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