On the holonomy Lie algebra and the nilpotent completion of the fundamental group of the complement of hypersurfaces

DOI10.1017/S0027763000020547zbMath0503.57001WikidataQ115336402 ScholiaQ115336402MaRDI QIDQ3969578

Toshitake Kohno

Publication date: 1983

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

differential formholonomy Lie algebraPoincare-Koszul seriesnilpotent completion of the fundamental group of the complement of a hypersurfacenilpotent completion of the holonomy Lie algebra

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Differential forms in global analysis (58A10) Complex Lie groups, group actions on complex spaces (32M05) Surfaces and higher-dimensional varieties (14J99) Fundamental group, presentations, free differential calculus (57M05) Analytic subsets and submanifolds (32C25) Coverings in algebraic geometry (14E20) Algebraic topology on manifolds and differential topology (57R19)

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Cites Work

• Infinitesimal computations in topology
• The algebraic topology of smooth algebraic varieties
• Théorie de Hodge. II. (Hodge theory. II)
• Iterated integrals of differential forms and loop space homology