Singular chain intersection homology for traditional and super-perversities

DOI10.1090/S0002-9947-06-03962-6zbMath1109.55004arXivmath/0407301MaRDI QIDQ3420388

Greg Friedman

Publication date: 1 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0407301

zbMATH Keywords

stratified spaceintersection homologypseudomanifoldsingular chainsuperperversity

Mathematics Subject Classification ID

Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Intersection homology and cohomology in algebraic topology (55N33) Stratifications in topological manifolds (57N80)

Related Items (24)

Lefschetz duality for intersection (co)homology ⋮ THE SYMMETRIC SIGNATURE OF A WITT SPACE ⋮ Intersection homology of stratified fibrations and neighborhoods ⋮ General perversities and \(L^2\) de Rham and Hodge theorems for stratified pseudomanifolds ⋮ Eigenvalue estimates and differential form Laplacians on Alexandrov spaces ⋮ Cup and cap products in intersection (co)homology ⋮ A sheaf-theoretic approach to tropical homology ⋮ Topological invariance of torsion-sensitive intersection homology ⋮ Poincaré duality with cap products in intersection homology ⋮ A general state-sum construction of 2-dimensional topological quantum field theories with defects ⋮ Poincaré duality, Hilbert complexes and geometric applications ⋮ The \(L\)-homology fundamental class for IP-spaces and the stratified Novikov conjecture ⋮ Stratified and unstratified bordism of pseudomanifolds ⋮ Intersection Cohomology. Simplicial Blow-up and Rational Homotopy ⋮ A Lefschetz duality for intersection homology ⋮ Intersection homology with general perversities ⋮ Blown-up intersection cohomology ⋮ Intersection homology Künneth theorems ⋮ Blown-up intersection cochains and Deligne's sheaves ⋮ On 2-dimensional Dijkgraaf-Witten theory with defects ⋮ Intersection homology and Poincaré duality on homotopically stratified spaces ⋮ Intersection homology with field coefficients:K-Witt spaces andK-Witt bordism ⋮ Intersection homology duality and pairings: singular, PL and sheaf-theoretic ⋮ Intersection Homology

Cites Work

• Intersection homology. II
• Topological invariance of intersection homology without sheaves
• Elementary construction of perverse sheaves
• Intersection homology theory
• Intersection cohomology of cs-spaces and Zeeman's filtration
• Singular spaces, characteristic classes, and intersection homology
• Stratified fibrations and the intersection homology of the regular neighborhoods of bottom strata
• Intersection Alexander polynomials.
• Superperverse intersection cohomology: stratification (in)dependence
• Homotopically Stratified Sets
• Extending intersection homology type invariants to non-Witt spaces
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