Homotopy invariance of foliation Betti numbers

DOI10.1007/BF01245079zbMath0756.46040MaRDI QIDQ1176636

James L. Heitsch, Connor Lazarov

Publication date: 25 June 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143886

zbMATH Keywords

tracefoliationsBetti numberscompact foliated manifoldsinvariant transverse measuresleft-wise homotopy equivalence

Mathematics Subject Classification ID

Noncommutative topology (46L85) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items (8)

Dynamics and the cohomology of measured laminations ⋮ SPECTRAL FLOW, INDEX AND THE SIGNATURE OPERATOR ⋮ Leafwise homotopy equivalences and leafwise Sobolov spaces ⋮ Betti numbers and Euler's formula for combinatorial foliations ⋮ Measurable versions of the LS category on laminations ⋮ Leafwise homotopies and Hilbert-Poincaré complexes. I: Regular HP-complexes and leafwise pull-back maps ⋮ On the Euler characteristic of measured foliations ⋮ Transversely Cantor laminations as inverse limits

Cites Work

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• Rigidity theorems for foliations by surfaces and spin manifolds
• A Lefschetz theorem for foliated manifolds
• The theory of foliations of codimension greater than one
• De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings
• Elementary Differential Topology. (AM-54)

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