Virginie Charette3
Todd A Drumm2
W Goldman2
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In [7] it was shown that if n is the fundamental group of a closed oriented surface S and G is Lie group satisfying very general conditions, then the space Hom(n, G)/G of conjugacy classes of representation n-+G has a natural symplectic structure. This symplectic structure generalizes the Weil-Petersson Kahler form on Teichmiiller space (taking G= PSL(2,(More)
Dedicated to the memory of Dan Rudolph Abstract. Let M 3 be a Margulis spacetime whose associated complete hyperbolic surface 2 has a compact convex core. Generalizing the correspondence between closed geodesics on M 3 and closed geodesics on 2 , we establish an orbit equivalence between recurrent spacelike geodesics on M 3 and recurrent geodesics on 2. In(More)
The energy of harmonic sections of flat bundles of nonpositively curved (NPC) length spaces over a Riemann surface S is a function E ρ on Teichmüller space T S which is a qualitative invariant of the holonomy representation ρ of π 1 (S). Adapting ideas of Sacks-Uhlenbeck, Schoen-Yau and Tromba, we show that the energy function E ρ is proper for any convex(More)
The deformation theory of representations of fundamental groups of compact Kähler manifolds Publications mathématiques de l'I. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques Abstract. — Let F be the fundamental group of a compact Kahler manifold M and let G be a real algebraic Lie group. Let 9l(r, G) denote the(More)