Surface groups are frequently faithful
Deblois, Jason ; Kent, Richard P.
Duke Math. J., Tome 131 (2006) no. 1, p. 351-362 / Harvested from Project Euclid
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We show that the set of faithful representations of a closed orientable hyperbolic surface group is dense in both irreducible components of the $\mathrm{PSL}_2(\mathbb{K})$ representation variety, where $\mathbb{K}=\mathbb{C}$ or $\mathbb{R} , answering a question of W. M. Goldman. We also prove the existence of faithful representations into $\mathrm{PU}(2,1)$ with certain nonintegral Toledo invariants.
Publié le : 2006-02-01
Classification:  57M05,  22E40 
@article{1137077887,
     author = {Deblois, Jason and Kent, Richard P.},
     title = {Surface groups are frequently faithful},
     journal = {Duke Math. J.},
     volume = {131},
     number = {1},
     year = {2006},
     pages = { 351-362},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1137077887}
}

Deblois, Jason; Kent, Richard P. Surface groups are frequently faithful. Duke Math. J., Tome 131 (2006) no. 1, pp.  351-362. http://gdmltest.u-ga.fr/item/1137077887/