English

The Hodge de Rham theory of relative Malcev completion

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

The Hodge de Rham theory of relative Malcev completion is developed in this paper. In the special case where one takes the corresponding reductive group to be trivial, one recovers Chen's de Rham theory of the fundamental group and the corresponding Hodge theory due to Morgan and the author. This work is a principal technical tool in the author's work on the mapping class groups.

Keywords

Cite

@article{arxiv.alg-geom/9607019,
  title  = {The Hodge de Rham theory of relative Malcev completion},
  author = {Richard Hain},
  journal= {arXiv preprint arXiv:alg-geom/9607019},
  year   = {2008}
}

Comments

36 pages. Author supplied dvi available at http://www.math.duke.edu/faculty/hain/