Multiplicative de Rham Theorems for Relative and Intersection Space Cohomology

DOI10.5427/jsing.2019.19gzbMath1431.55006arXiv1904.00482OpenAlexW2930066829MaRDI QIDQ5235496

Franz Wilhelm Schlöder, J. Timo Essig

Publication date: 11 October 2019

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00482

zbMATH Keywords

differential formssingularityintersection cohomologyPoincaré dualitystratified spacesheaf theoryde Rham theorempseudomanifoldrelative de Rham theoremcellular cup productscup products on cochainsintersection space cohomology

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Sheaf cohomology in algebraic topology (55N30) de Rham theory in global analysis (58A12) Differential forms in global analysis (58A10) Poincaré duality spaces (57P10) Mirror symmetry (algebro-geometric aspects) (14J33) Intersection homology and cohomology in algebraic topology (55N33)

Cites Work

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• Foliated stratified spaces and a de Rham complex describing intersection space cohomology
• Intersection homology. II
• Theorème de De Rham pour les variétés stratifiées. (The De Rham theorem for stratified manifolds)
• Intersection spaces, spatial homology truncation, and string theory
• Intersection homology theory
• Homological properties of stratified spaces
• Hodge theory for intersection space cohomology
• Introduction to Smooth Manifolds
• Differential forms on singular varieties and cyclic homology
• Intersection space cohomology of three-strata pseudomanifolds

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