Area functionals and Godbillon-Vey cocycles

DOI10.5802/aif.1298zbMath0759.57019OpenAlexW2325002244MaRDI QIDQ1203375

Takashi Tsuboi

Publication date: 8 February 1993

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1992__42_1-2_421_0

zbMATH Keywords

group of diffeomorphisms of the circleGodbillon-Vey classarea functionalsGodbillon-Vey 2-dimensional cohomology classLipschitz homeomorphisms of the circle

Mathematics Subject Classification ID

Integration of real functions of several variables: length, area, volume (26B15) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Foliations in differential topology; geometric theory (57R30) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32) Functions of bounded variation, generalizations (26A45)

Related Items

On one-dimensional dynamics in intermediary regularity, The Godbillon-Vey invariant and the foliated cobordism group, PL-representations of Anosov foliations, The Godbillon--Vey cyclic cocycle for PL-foliations, The Novikov conjecture and the Thompson group

Cites Work

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• Noncobordant foliations of 𝑆³