Intersection Cohomology. Simplicial Blow-up and Rational Homotopy

DOI10.1090/memo/1214zbMath1418.55003arXiv1205.7057OpenAlexW3098610497MaRDI QIDQ4645841

David Chataur, Daniel Tanré, Martintxo E. Saralegi-Aranguren

Publication date: 11 January 2019

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.7057

zbMATH Keywords

blow-upformalityintersection cohomologynodal hypersurfacesThom spacesstratified spacesisolated singularitiesintersection homologySullivan minimal modelpseudomanifoldstopological invariancefiltered spacesbalanced perverse complexCS setsMorgan's model for complement of a divisorperverse local systemsThom-Whitney cohomology

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) Intersection homology and cohomology in algebraic topology (55N33) Stratifications in topological manifolds (57N80)

Related Items

Rational homotopy and intersection-formality of complex algebraic varieties, Lefschetz duality for intersection (co)homology, Homotopy theory of stratified spaces, Variations on Poincaré duality for intersection homology, Poincaré duality with cap products in intersection homology, Homotopy truncations of homotopically stratified spaces, Rational homotopy of complex projective varieties with normal isolated singularities, A simplicial approach to stratified homotopy theory, Blown-up intersection cohomology, Blown-up intersection cochains and Deligne's sheaves, Intersection homology duality and pairings: singular, PL and sheaf-theoretic, Hodge theory for intersection space cohomology, Sheaves of 𝐸-infinity algebras and applications to algebraic varieties and singular spaces, Intersection Homology

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