The hodge de rham theory of relative malcev completion1

DOI10.1016/S0012-9593(98)80018-9zbMath0911.14008arXivalg-geom/9607019OpenAlexW2018775685MaRDI QIDQ4396108

Richard M. Hain

Publication date: 4 May 1999

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9607019

zbMATH Keywords

fundamental groupvariation of Hodge structure

Mathematics Subject Classification ID

Variation of Hodge structures (algebro-geometric aspects) (14D07) Fundamental group, presentations, free differential calculus (57M05) Homotopy theory and fundamental groups in algebraic geometry (14F35)

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Cites Work

• Unnamed Item
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• Unipotent variations of mixed Hodge structure
• Monodromy representations of braid groups and Yang-Baxter equations
• The de Rham homotopy theory of complex algebraic varieties. I
• Infinitesimal computations in topology
• The algebraic topology of smooth algebraic varieties
• Iterated path integrals
• Completions of mapping class groups and the cycle $C - C^-$
• Infinitesimal presentations of the Torelli groups
• On the Indecomposable Elements of the Bar Construction
• Torelli Groups and Geometry of Moduli Spaces of Curves