Computing twisted signatures and \(L\)-classes of stratified spaces

DOI10.1007/s00208-003-0439-4zbMath1034.32021OpenAlexW1534873141MaRDI QIDQ1407675

Julius L. Shaneson, Sylvain E. Cappell, Markus Banagl

Publication date: 16 September 2003

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

Full work available at URL: https://doi.org/10.1007/s00208-003-0439-4

zbMATH Keywords

signatureintersection homologycharacteristic classstratified pseudomanifoldWitt space\(L\)-classWhitney stratificationstratified map

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Singularities of differentiable mappings in differential topology (57R45) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50) Monodromy on manifolds (58K10) Stratified sets (58A35) Fiberings with singularities in algebraic topology (55R55) Homology with local coefficients, equivariant cohomology (55N25) Intersection homology and cohomology in algebraic topology (55N33) Stratifications in topological manifolds (57N80)

Related Items (12)

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 ⋮ Equivariant Characteristic Classes of Singular Complex Algebraic Varieties ⋮ Intersection homology with general perversities ⋮ THE SIGNATURE OF PARTIALLY DEFINED LOCAL COEFFICIENT SYSTEMS ⋮ Intersection homology of regular and cylindrical neighborhoods ⋮ Hodge genera of algebraic varieties. II ⋮ On topological invariants of stratified maps with non-Witt target ⋮ Knots, Singular Embeddings, and Monodromy ⋮ Intersection homology and Poincaré duality on homotopically stratified spaces ⋮ Hodge theory for intersection space cohomology

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