Localization of topological Pontryagin classes via finite propagation speed

DOI10.1007/BF01898361zbMath0813.57023MaRDI QIDQ1326536

Henri Moscovici, Fangbing Wu

Publication date: 18 May 1994

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58157

zbMATH Keywords

Lipschitz manifoldlocal constructionAlexander-Spanier homologyrational Pontryagin classes of polyhedral manifoldstopological Pontryagin classes

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) ?ech types (55N05) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Algebraic topology of manifolds (57N65)

Related Items (10)

A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings ⋮ Higher genera for proper actions of Lie groups. II: The case of manifolds with boundary ⋮ Pontryagin forms for manifolds with framed singular strata ⋮ Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras ⋮ $\mathcal {L}$-classes on pseudomanifolds with one singular stratum ⋮ Bivariant Chern character and longitudinal index ⋮ Local index theory over foliation groupoids ⋮ Higher genera for proper actions of Lie groups ⋮ Index pairing with Alexander-Spanier cocycles ⋮ Higher localised \(\hat{A}\)-genera for proper actions and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectral geometry of singular Riemannian spaces
• An analytic proof of Novikov's theorem on rational Pontrjagin classes
• Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem
• The index theorem for topological manifolds
• Fonctorialité en K-théorie bivariante pour les variétés lipschitziennes. (Functoriality in the bivariant K-theory for Lipschitz manifolds)
• Quasiconformal 4-manifolds
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• η-Invariants and Their Adiabatic Limits
• A combinatorial formula for the Pontrjagin classes
• Spectral asymmetry and Riemannian Geometry. I
• TOPOLOGICAL INVARIANTS OF ELLIPTIC OPERATORS. I:K-HOMOLOGY
• Coarse cohomology and index theory on complete Riemannian manifolds
• What is the Laplace Transform?

This page was built for publication: Localization of topological Pontryagin classes via finite propagation speed