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Article Dans Une Revue Boletin de la Sociedad Matematica Mexicana Année : 2004

The variety of characters in PSL(2,C)

Résumé

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.

Dates et versions

hal-00425129 , version 1 (20-10-2009)

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Michael Heusener, Joan Porti. The variety of characters in PSL(2,C). Boletin de la Sociedad Matematica Mexicana, 2004, 10 (Special Issue), pp.221-237. ⟨hal-00425129⟩
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