Surface groups are frequently faithful

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We show the set of faithful representations of a closed orientable hyperbolic surface group is dense in both irreducible components of the PSL(2,K) representation variety, where K is the field of real or complex numbers, answering a question of W. Goldman. We also prove the existence of faithful representations into PU(2,1) with certain nonintegral Toledo invariants.
10 pages, 1 figure

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Geometric Topology, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/73202

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411270
 http://arxiv.org/abs/math/0411270

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arXiv