Extending intersection homology type invariants to non-Witt spaces

DOI10.1090/memo/0760zbMath1030.55005OpenAlexW1990536341MaRDI QIDQ4791660

Markus Banagl

Publication date: 30 January 2003

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

Full work available at URL: https://doi.org/10.1090/memo/0760

zbMATH Keywords

dualitysignaturecharacteristic classesLagrangian structuresstratified spacesintersection homologypseudomanifoldsWitt spaces

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Intersection homology and cohomology in algebraic topology (55N33) Stratifications in topological manifolds (57N80) Microbundles and block bundles (57Q50)

Related Items (12)

The index formula for families of Dirac type operators on pseudomanifolds ⋮ The uniqueness theorem for Gysin coherent characteristic classes of singular spaces ⋮ Gysin restriction of topological and Hodge-theoretic characteristic classes for singular spaces ⋮ The \(L\)-homology fundamental class for IP-spaces and the stratified Novikov conjecture ⋮ Topological and Hodge L-classes of singular covering spaces and varieties with trivial canonical class ⋮ Stratified and unstratified bordism of pseudomanifolds ⋮ Hodge theory on Cheeger spaces ⋮ Extended Hodge theory for fibred cusp manifolds ⋮ On topological invariants of stratified maps with non-Witt target ⋮ Intersection homology and Poincaré duality on homotopically stratified spaces ⋮ Intersection homology with field coefficients:K-Witt spaces andK-Witt bordism ⋮ Singular chain intersection homology for traditional and super-perversities

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