Flat structures on surface bundles

DOI10.2140/agt.2011.11.2207zbMath1269.37021arXiv1103.3199OpenAlexW1972897325MaRDI QIDQ635407

Jonathan Bowden

Publication date: 19 August 2011

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.3199

zbMATH Keywords

foliationgroup cohomologymapping class groupdiffeomorphism groupsymplectic topologycharacteristic class of surface bundle

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Foliations in differential topology; geometric theory (57R30) Differential topological aspects of diffeomorphisms (57R50)

Related Items (3)

Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups ⋮ On the moduli space of flat symplectic surface bundles ⋮ Extensions of quasi-morphisms to the symplectomorphism group of the disk

Cites Work

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• Characteristic classes of foliated surface bundles with area-preserving holonomy
• Families of Jacobian manifolds and characteristic classes of surface bundles. I
• Signatures of foliated surface bundles and the symplectomorphism groups of surfaces
• Some groups of mapping classes not realized by diffeomorphisms
• On the existence of a connection with curvature zero
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Families of Jacobian manifolds and characteristic classes of surface bundles. II
• On the Self-Intersections of Foliation Cycles
• Foliations and groups of diffeomorphisms
• Two Theorems on the Mapping Class Group of a Surface
• The Calabi invariant and the Euler class
• Corrigenda to: Introduction to Symplectic Topology
• The Structure of Local Homeomorphisms, III
• The geometry of symplectic pairs
• Characteristic classes of surface bundles

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