A cocycle on the group of symplectic diffeomorphisms

DOI10.1515/ADVGEOM.2010.039zbMath1236.57047arXiv0807.1191MaRDI QIDQ3074801

Światosław R. Gal, Jarosław Kȩdra

Publication date: 10 February 2011

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1191

zbMATH Keywords

Hamiltonian diffeomorphismcocyclediscrete groupflux homomorphism

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Symplectic manifolds (general theory) (53D05) Asymptotic properties of groups (20F69)

Related Items

The translation number and quasi-morphisms on groups of symplectomorphisms of the disk ⋮ A two-cocycle on the group of symplectic diffeomorphisms

Cites Work

• On fundamental groups of symplectically aspherical manifolds
• Symplectically hyperbolic manifolds
• On fundamental groups of symplectically aspherical manifolds. II: Abelian groups
• Hamiltonian dynamics on convex symplectic manifolds
• Growth of maps, distortion in groups and symplectic geometry
• On the action spectrum for closed symplectically aspherical manifolds
• Symplectic diffeomorphisms as isometries of Hofer's norm

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