Leafwise homotopy equivalences and leafwise Sobolov spaces

DOI10.1017/is011011001jkt171zbMath1247.53027OpenAlexW2117172266MaRDI QIDQ2905335

Moulay Tahar Benameur, James L. Heitsch

Publication date: 27 August 2012

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/bc2c64b09e539fce4592cdf824dab47104c069d7

zbMATH Keywords

foliationisomorphismleafwise homotopy equivalenceleafwise cohomology

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) de Rham theory in global analysis (58A12) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (1)

Leafwise homotopies and Hilbert-Poincaré complexes. I: Regular HP-complexes and leafwise pull-back maps

Cites Work

• The twisted higher harmonic signature for foliations
• A Lefschetz theorem for foliated manifolds
• De Rham isomorphism of the \(L_ p\)-cohomology of noncompact Riemannian manifolds
• Some remarks on foliations with minimal leaves
• Homotopy invariance of foliation Betti numbers
• De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings
• Index Theory and Non-Commutative Geometry II. Dirac Operators and Index Bundles

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