Add to ORKGThe main result is an explicit expression for the Pressure Metric on the Hitchin component of surface group representations into PSL(n,R) along the Fuchsian locus. The expression is in terms of a parametrization of the tangent space by holomorphic differentials, and it gives a precise relationship with the Petersson pairing. Along the way, variational formulas are established that generalize results from classical Teichmueller theory, such as Gardiner's formula, the relationship between length functions and Fenchel-Nielsen deformations, and variations of cross ratios
We study the Hitchin component in the space of representations of the fundamental group of a Riemann...
Soit C/S une famille lisse de courbes projectives complexes de genre g>1 paramètrées par une variété...
We study the Hitchin component in the space of representations of the fundamental group of a Riemann...
We survey the theory of Hitchin representations of Fuchsian groups and describe a conjectural geomet...
In this paper, we produce a mapping class group invariant pressure metric on the space QF(S) of quas...
Let Σ be a closed, orientable surface of genus g. It is known that the representation variety of π1...
AbstractLet Σ be a closed, orientable surface of genus g. It is known that the SU(2,1) representatio...
The moduli space of SL(n,C)-Higgs bundles over a Riemann surface admits a Hitchin fibration over the...
Higher Teichm\"uller spaces are deformation spaces arising from subsets of the space of representati...
Given a closed, oriented, smooth surface $Sigma$ of negative Euler characteristic, the relationships...
In this paper we pursue a more geometric approach to compactification of the Hitchin component. Our ...
Let (S,g_0) be a hyperbolic surface, ρ be a Hitchin representation for PSL(n,R), and f be the unique...
à paraître à Geometry and TopologyIn a previous paper by Deroin-Tholozan, the authors construct a ma...
2012-07-30Let S be a connected, closed, oriented surface of negative Euler characteristic, we consid...
We introduce and study a novel uniformization metric model for the quasi-Fuchsian space QF(S) of a c...
We study the Hitchin component in the space of representations of the fundamental group of a Riemann...
Soit C/S une famille lisse de courbes projectives complexes de genre g>1 paramètrées par une variété...
We study the Hitchin component in the space of representations of the fundamental group of a Riemann...
We survey the theory of Hitchin representations of Fuchsian groups and describe a conjectural geomet...
In this paper, we produce a mapping class group invariant pressure metric on the space QF(S) of quas...
Let Σ be a closed, orientable surface of genus g. It is known that the representation variety of π1...
AbstractLet Σ be a closed, orientable surface of genus g. It is known that the SU(2,1) representatio...
The moduli space of SL(n,C)-Higgs bundles over a Riemann surface admits a Hitchin fibration over the...
Higher Teichm\"uller spaces are deformation spaces arising from subsets of the space of representati...
Given a closed, oriented, smooth surface $Sigma$ of negative Euler characteristic, the relationships...
In this paper we pursue a more geometric approach to compactification of the Hitchin component. Our ...
Let (S,g_0) be a hyperbolic surface, ρ be a Hitchin representation for PSL(n,R), and f be the unique...
à paraître à Geometry and TopologyIn a previous paper by Deroin-Tholozan, the authors construct a ma...
2012-07-30Let S be a connected, closed, oriented surface of negative Euler characteristic, we consid...
We introduce and study a novel uniformization metric model for the quasi-Fuchsian space QF(S) of a c...
We study the Hitchin component in the space of representations of the fundamental group of a Riemann...
Soit C/S une famille lisse de courbes projectives complexes de genre g>1 paramètrées par une variété...
We study the Hitchin component in the space of representations of the fundamental group of a Riemann...