The Calabi invariant and the Euler class

DOI10.1090/S0002-9947-99-02253-9zbMath0937.57023OpenAlexW1505798869MaRDI QIDQ4699604

Takashi Tsuboi

Publication date: 17 November 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02253-9

zbMATH Keywords

classifying spacesarea preserving diffeomorphismsfoliated circle bundlesfoliated disk bundles

Mathematics Subject Classification ID

Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Foliations (differential geometric aspects) (53C12) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32) Differential topological aspects of diffeomorphisms (57R50)

Related Items (10)

QUASI-MORPHISMS AND L^p-METRICS ON GROUPS OF VOLUME-PRESERVING DIFFEOMORPHISMS ⋮ Fragmentation norm and relative quasimorphisms ⋮ The translation number and quasi-morphisms on groups of symplectomorphisms of the disk ⋮ Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups ⋮ The Dixmier-Douady class, the action homomorphism, and group cocycles on the symplectomorphism group ⋮ The flux homomorphism on a surface with boundary and central extensions of diffeomorphism groups ⋮ On the autonomous metric on the group of area-preserving diffeomorphisms of the 2-disc ⋮ Flat structures on surface bundles ⋮ Extensions of quasi-morphisms to the symplectomorphism group of the disk ⋮ ON QUASI-MORPHISMS FROM KNOT AND BRAID INVARIANTS

Cites Work

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• Structure of the group of homeomorphisms preserving a good measure on a compact manifold
• On the Self-Intersections of Foliation Cycles
• On the Volume Elements on a Manifold
• Diffeomorphisms of the 2-Sphere

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