Mixed Hodge structures on the homotopy of links

DOI10.1007/BF01474182zbMath0617.14012OpenAlexW2077599582MaRDI QIDQ1821831

Alan H. Durfee, Richard M. Hain

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164351

zbMATH Keywords

cup productmixed Hodge theorydecomposition theorem of intersection homologyhomotopy of a complex algebraic varietylinks of isolated singular pointsneighborhood of a subvariety

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Rational homotopy theory (55P62) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Homotopy theory and fundamental groups in algebraic geometry (14F35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Algebraic topology on manifolds and differential topology (57R19)

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Hodge theory of the Turaev cobracket and the Kashiwara-Vergne problem, Unnamed Item, Rational homotopy and intersection-formality of complex algebraic varieties, Hodge numbers of hypersurfaces, Boundary manifolds of projective hypersurfaces, Mixed Hodge structures on homotopy groups, Real Grassmann polylogarithms and Chern classes, On Mordell-Weil groups of isotrivial abelian varieties over function fields, MULTIVARIABLE HODGE THEORETICAL INVARIANTS OF GERMS OF PLANE CURVES, Algebraic monodromy and obstructions to formality, Unnamed Item, Non vanishing loci of Hodge numbers of local systems, Unnamed Item, Cohomology jump loci of 3-manifolds, Complex singularities and contact topology, ON THE MILNOR MONODROMY OF THE IRREDUCIBLE COMPLEX REFLECTION ARRANGEMENTS, L-infinity pairs and applications to singularities, Cohomology algebra of plane curves, weak combinatorial type, and formality, Moduli spaces for fundamental groups and link invariants derived from the lower central series

Cites Work

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