Surface groups are frequently faithful

Details Surface groups are frequently faithful Surface groups are frequently faithful

2004-11-11

arxiv.org/abs/math/0411270v1

Mathematics

Geometric Topology

10 pages, 1 figure

Scientific paper

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.

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