The flux homomorphism and central extensions of diffeomorphism groups

zbMath1478.58006arXiv1905.08029MaRDI QIDQ2046768

Shuhei Maruyama

Publication date: 19 August 2021

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08029

zbMATH Keywords

Euler classcentral extensiongroup of symplectomorphismsCalabi invariantflux homomorphismflux extension

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Related Items (3)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A two-cocycle on the group of symplectic diffeomorphisms
• Groups acting on the circle.
• Signatures of foliated surface bundles and the symplectomorphism groups of surfaces
• The Calabi Invariant and Central Extensions of Diffeomorphism Groups

This page was built for publication: The flux homomorphism and central extensions of diffeomorphism groups