The Hodge de Rham theory of relative Malcev completion

Details The Hodge de Rham theory of relative Malcev completion The Hodge de Rham theory of relative Malcev completion

1996-07-18

arxiv.org/abs/alg-geom/9607019v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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