A two-cocycle on the group of symplectic diffeomorphisms

DOI10.1007/s00209-011-0884-9zbMath1254.58006arXiv1010.0658OpenAlexW2963224826MaRDI QIDQ444166

Światosław R. Gal, Jarosław Kȩdra

Publication date: 13 August 2012

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

Full work available at URL: https://arxiv.org/abs/1010.0658

zbMATH Keywords

foliationsymplectic manifoldgroup of symplectic diffeomorphismsKähler cocycle

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Symplectic manifolds (general theory) (53D05) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)

Related Items (4)

A characterisation of symplectically aspherical manifolds ⋮ The Dixmier-Douady class, the action homomorphism, and group cocycles on the symplectomorphism group ⋮ A second cohomology class of the symplectomorphism group with the discrete topology ⋮ The flux homomorphism and central extensions of diffeomorphism groups

Cites Work

• Construction of universal bundles. I
• Construction of universal bundles. II
• Symplectically hyperbolic manifolds
• Symplectically aspherical manifolds
• Monodromy in Hamiltonian Floer theory
• Growth of maps, distortion in groups and symplectic geometry
• On the action spectrum for closed symplectically aspherical manifolds
• A cocycle on the group of symplectic diffeomorphisms
• Sur la cohomologie réelle des groupes de Lie simples réels
• Corrigenda to: Introduction to Symplectic Topology
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