C. Simpson

Publications121
h-index24
Citations4,723
Highly Influential Citations538
Claim Author Page
Author pages are created from data sourced from our academic publisher partnerships and public sources.

Recommended Authors

  • L. Katzarkov
  • 116 Publications • 2,522 Citations
  • M. Kontsevich
  • 94 Publications • 13,899 Citations
  • I. Biswas
  • 535 Publications • 3,476 Citations
  • P. Griffiths
  • 236 Publications • 15,770 Citations
  • Publications
  • Influence
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 complex… Expand
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 is… Expand
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 subgroup… Expand
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 on… Expand
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 of… Expand
$B$-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 isomorphism… Expand
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 compatibility… Expand
...
1
2
3
4
5
...