%0 Journal Article
%A Biswas, Indranil
%A Muñoz, Vicente
%T Torelli theorem for moduli spaces of SL(r,C) -connections on a compact Riemann surface.
%D 2009
%@ 0219-1997
%U https://hdl.handle.net/20.500.14352/43776
%X Let X be any compact connected Riemann surface of genus g, with g ≥ 3. For any r ≥ 2, let  denote the moduli space of holomorphic SL(r,ℂ)-connections over X. It is known that the biholomorphism class of the complex variety  is independent of the complex structure of X. If g = 3, then we assume that r ≥ 3. We prove that the isomorphism class of the variety  determines the Riemann surface X uniquely up to an isomorphism. A similar result is proved for the moduli space of holomorphic GL(r,ℂ)-connections on X.
%~