The Godbillon measure of amenable foliations

DOI10.4310/jdg/1214440118zbMath0605.57015OpenAlexW1535107359WikidataQ115185407 ScholiaQ115185407MaRDI QIDQ1083726

Steven E. Hurder

Publication date: 1986

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214440118

zbMATH Keywords

subexponential growthcharacteristic classes of foliationsamenable foliationgeneralized Godbillon-Vey classesGodbillon measuregroupoid of germs of local diffeomorphismsmeasurable 1-cocyclesWeil measure

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (13)

Dynamics and the cohomology of measured laminations ⋮ Sur l'invariance topologique de la classe de Godbillon-Vey. (On the topological invariance of the Godbillon-Vey class.) ⋮ Secondary classes and transverse measure theory of a foliation ⋮ Dynamics and the Godbillon-Vey class of \(C^1\) foliations ⋮ Geometric entropy of foliations ⋮ LOSIK CLASSES FOR CODIMENSION-ONE FOLIATIONS ⋮ The modular class of a singular foliation ⋮ The modular class of a regular Poisson manifold and the Reeb class of its symplectic foliation ⋮ Nonsmoothable, locally indicable group actions on the interval ⋮ Unimodularity criteria for Poisson structures on foliated manifolds ⋮ Non-negative scalar curvature ⋮ A Fatou-Julia decomposition of transversally holomorphic foliations ⋮ The Godbillon-Vey invariant and equivariant \(KK\)-theory

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