$\mathcal {L}$-classes on pseudomanifolds with one singular stratum

DOI10.1090/S0002-9939-97-03386-8zbMath0870.58100OpenAlexW1608271761MaRDI QIDQ4339172

Shing-Wai Chan

Publication date: 5 June 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03386-8

zbMATH Keywords

eta invariantChern characterindex theoremcurvature formsGoresky-MacPherson-Siegel \(\mathcal L\) classesone singular stratum

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) Exotic index theories on manifolds (58J22) Index theory (19K56)

Related Items

The index of Dirac operators on incomplete edge spaces ⋮ The index formula for families of Dirac type operators on pseudomanifolds

Cites Work

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• Spectral geometry of singular Riemannian spaces
• Fonctorialité en K-théorie bivariante pour les variétés lipschitziennes. (Functoriality in the bivariant K-theory for Lipschitz manifolds)
• Intersection homology theory
• Infinitesimal computations in topology
• Kähler-Hodge theory for conformal complex cones
• Deficiency indices for symmetric Dirac operators on manifolds with conic singularities
• Localization of topological Pontryagin classes via finite propagation speed
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• Pontryagin forms for manifolds with framed singular strata
• Witt Spaces: A Geometric Cycle Theory for KO-Homology at Odd Primes
• An Index Theorem for First Order Regular Singular Operators
• Characteristic Classes. (AM-76)
• Hilbert Space Methods in the Theory of Harmonic Integrals