The Yang-Mills equations over Riemann surfaces, Philos. Trans. Roy. Soc. London Ser. A, vol.308, issue.1505, pp.523-615, 1983. ,
Cyclic Higgs bundles and the affine Toda equations, arXiv.org, 2010. ,
Cubic differentials and hyperbolic convex sets, Journal of Differential Geometry, vol.98, issue.1, pp.1-23, 2013. ,
DOI : 10.4310/jdg/1406137694
Curvature of vector bundles associated to holomorphic fibrations, Annals of Mathematics, vol.169, issue.2, pp.531-560, 2009. ,
DOI : 10.4007/annals.2009.169.531
Minimal surfaces and the affine Toda field model, Journal für die Reine und Angewandte Mathematik, vol.459, pp.119-150, 1995. ,
Maximal surfaces and the universal Teichm??ller space, Inventiones mathematicae, vol.28, issue.2, pp.279-333, 2010. ,
DOI : 10.1007/s00222-010-0263-x
Lie groups and Lie algebras, Elements of Mathematics, vol.79, 2005. ,
Deformations of maximal representations in Sp, The Quarterly Journal of Mathematics, vol.4, issue.63 4, pp.795-843, 2012. ,
The pressure metric for convex representations, arXiv.org, 2013. ,
Asymptotics of certain families of Higgs bundles in the Hitchin component, arXiv.org, 2014. ,
Analytic methods in algebraic geometry, Surveys of Modern Mathematics, vol.1 ,
Twisted harmonic maps and the self-duality equations, Proceedings of the London Mathematical Society. Third Series, vol.55, issue.1, pp.127-131, 1987. ,
Moduli spaces of local systems and higher Teichmüller theory, Publ. Math. Inst. Hautes Études Sci, issue.103, pp.1-211, 2006. ,
Higgs bundles and surface group representations in the real symplectic group, Journal of Topology, vol.6, issue.1, pp.64-118, 2013. ,
DOI : 10.1112/jtopol/jts030
Representations of the fundamental group of a closed oriented surface in Sp, Topology, vol.4, issue.43 4, pp.831-855, 2004. ,
The symplectic nature of fundamental groups of surfaces Convex real projective structures on closed surfaces are closed, Proc. Amer, pp.200-225, 1984. ,
Hermitian differential geometry and the theory of positive and ample holomorphic vector bundles, J. Math. Mech, vol.14, pp.117-140, 1965. ,
Convex foliated projective structures and the Hitchin component for ${\rm PSL}_4(\mathbf{R})$, Duke Mathematical Journal, vol.144, issue.3, pp.381-445, 2008. ,
DOI : 10.1215/00127094-2008-040
The self-duality equations on a Riemann surface, Proceedings of the London Mathematical Society Lie groups and Teichmüller space, pp.59-126, 1987. ,
Entropy and closed geodesics, Ergodic Theory Dynam, Systems, vol.2, issue.3-4, pp.339-365, 1982. ,
Kahler metric on Hitchin component, arXiv.org, 2013. ,
Differential geometry of complex vector bundles, 1987. ,
DOI : 10.1515/9781400858682
The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group, Lie group representations on polynomial rings, pp.973-1032, 1959. ,
DOI : 10.2307/2372999
Teichmüller Space Is Totally Geodesic In Goldman Space, arXiv.org, 2013. ,
Affine spheres and convex RP n -manifolds, American Journal of Mathematics, vol.123, issue.2, pp.255-274, 2001. ,
The Existence of Minimal Immersions of 2-Spheres, Minimal immersions of closed Riemann surfaces, pp.1-24, 1981. ,
DOI : 10.2307/1971131
The role of harmonic mappings in rigidity and deformation problems, Complex geometry, pp.179-200, 1990. ,
Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with nonnegative scalar curvature, Annals of Mathematics, vol.110, issue.1, pp.127-142, 1979. ,
Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization, J. Amer. Math. Soc, vol.1, issue.4, pp.867-918, 1988. ,
The Teichm??ller theory of harmonic maps, Journal of Differential Geometry, vol.29, issue.2, pp.449-479, 1989. ,
DOI : 10.4310/jdg/1214442885
Chern forms and the Riemann tensor for the moduli space of curves, Inventiones Mathematicae, vol.85, issue.1, pp.119-145, 1986. ,