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Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization
The fundamental group is one of the most basic topological invariants of a space. The aim of this paper is to present a method of constructing representations of fundamental groups in complexExpand
Higgs bundles and local systems
© Publications mathématiques de l’I.H.É.S., 1992, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » ( http://www.Expand
Moduli of representations of the fundamental group of a smooth projective variety I
© Publications mathématiques de l’I.H.É.S., 1994, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://Expand
Harmonic bundles on noncompact curves
The purpose of this paper is to extend the correspondence between Higgs bundles and local systems [2,5,6,7, 13, 17, 19,20,21] to the case when X is a noncom pact algebraic curve. The basic result isExpand
Moduli of representations of the fundamental group of a smooth projective variety. II
© Publications mathématiques de l’I.H.É.S., 1994, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://Expand
Subspaces of moduli spaces of rank one local systems
Suppose X is a smooth projective variety. The moduli space M (X) of rank one local systems on X has three different structures of complex algebraic group (Betti, de Rham, and Dolbeault). A subgroupExpand
The Hodge filtration on nonabelian cohomology
This is partly a survey article on nonabelian Hodge theory, but we also give proofs of results that have only been announced elsewhere. In the introduction we discuss a wide range of recent work onExpand
Mixed twistor structures
The purpose of this paper is to introduce the notion of mixed twistor structure, a generalization of the notion of mixed Hodge structure. The utility of this notion is to make possible a theory ofExpand
$B$-structures on $G$-bundles and local triviality
1. Let G be a split reductive group scheme over Z (recall that for any algebraically closed field k there is a bijection G → G ⊗ k between isomorphism classes of such group schemes and isomorphismExpand
Homotopy types of strict 3-groupoids
We look at strict $n$-groupoids and show that if $\Re$ is any realization functor from the category of strict $n$-groupoids to the category of spaces satisfying a minimal property of compatibilityExpand
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