Non-diffeomorphic Reeb foliations and modified Godbillon-Vey class

DOI10.1007/s00209-021-02828-1zbMath1486.57039arXiv1912.01267OpenAlexW3188803372MaRDI QIDQ2069628

Anton S. Galaev, Yaroslav V. Bazaikin, Pavel Gumenyuk

Publication date: 21 January 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.01267

zbMATH Keywords

Reeb componentReeb foliationcharacteristic classes of foliationGelfand formal geometryGelfand-Fuchs cohomologyGodbillon-Vey-Losik classleaf space of foliation

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32)

Related Items (5)

Characterization of codimension one foliations on complex curves by connections ⋮ On the Godbillon-Vey invariant of transversely parallelizable foliations ⋮ LOSIK CLASSES FOR CODIMENSION-ONE FOLIATIONS ⋮ The extension of cochain complexes of meromorphic functions to multiplications ⋮ Product-type classes for vertex algebra cohomology of foliations on complex curves

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• Čech-De Rham theory for leaf spaces of foliations
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• Rozansky-Witten invariants via formal geometry
• LOSIK CLASSES FOR CODIMENSION-ONE FOLIATIONS
• Noncobordant foliations of 𝑆³
• Foliations

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