%0 Generic %1 alessandrini2018hitchin %A Alessandrini, Daniele %A Lee, Gye-Seon %A Schaffhauser, Florent %D 2018 %K hitchin %T Hitchin components for orbifolds %U http://arxiv.org/abs/1811.05366 %X We extend the notion of Hitchin component from surface groups to orbifold groups and prove that this gives new examples of higher Teichmüller spaces. We show that the Hitchin component of an orbifold group is homeomorphic to an open ball and we compute its dimension explicitly. We then give applications to the study of the pressure metric, cyclic Higgs bundles, and the deformation theory of real projective structures on $3$-manifolds.

@misc{alessandrini2018hitchin, abstract = {We extend the notion of Hitchin component from surface groups to orbifold groups and prove that this gives new examples of higher Teichm\"{u}ller spaces. We show that the Hitchin component of an orbifold group is homeomorphic to an open ball and we compute its dimension explicitly. We then give applications to the study of the pressure metric, cyclic Higgs bundles, and the deformation theory of real projective structures on $3$-manifolds.}, added-at = {2019-07-04T10:21:50.000+0200}, author = {Alessandrini, Daniele and Lee, Gye-Seon and Schaffhauser, Florent}, biburl = {https://www.bibsonomy.org/bibtex/2673782b9274f01877300dd66084190eb/simonechiarello}, description = {Hitchin components for orbifolds}, interhash = {394cd274f6b811560b06b53bae898d2c}, intrahash = {673782b9274f01877300dd66084190eb}, keywords = {hitchin}, note = {cite arxiv:1811.05366Comment: 40 pages. v3: Expanded version: now includes an alternate expression for the dimension formula and an extension of the main theorem to the case of orbifolds with boundary}, timestamp = {2019-07-04T10:21:50.000+0200}, title = {Hitchin components for orbifolds}, url = {http://arxiv.org/abs/1811.05366}, year = 2018 }