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The Hodge de Rham theory of relative Malcev completion

Richard Hain
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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.

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Richard Hain. 1996-07-18. The Hodge de Rham theory of relative Malcev completion. https://arxiv.org/abs/alg-geom/9607019

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