The translation number and quasi-morphisms on groups of symplectomorphisms of the disk

DOI10.5802/aif.3487OpenAlexW3091940523MaRDI QIDQ2675340

Shuhei Maruyama

Publication date: 21 September 2022

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

Full work available at URL: https://arxiv.org/abs/1912.10863

zbMATH Keywords

bounded cohomologysymplectomorphism groupquasi-morphism

Mathematics Subject Classification ID

Cohomology of groups (20J06) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45)

Cites Work

• scl.
• Sur la structure du groupe des difféomorphismes qui preservent une forme symplectique
• Growth of maps, distortion in groups and symplectic geometry
• The flux homomorphism and central extensions of diffeomorphism groups
• The Calabi Invariant and Central Extensions of Diffeomorphism Groups
• A cocycle on the group of symplectic diffeomorphisms
• Numerical Invariants for Semiconjugacy of Homeomorphisms of the Circle
• The Calabi invariant and the Euler class

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