Surface groups are frequently faithful

Jason DeBlois; Richard P. Kent IV

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Surface groups are frequently faithful

Jason DeBlois·Richard P. Kent IV

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Abstract

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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Jason DeBlois, Richard P. Kent IV. 2004-11-11. Surface groups are frequently faithful. https://arxiv.org/abs/math/0411270

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