A second cohomology class of the symplectomorphism group with the discrete topology

DOI10.2140/AGT.2018.18.187zbMath1385.57027OpenAlexW2785682060MaRDI QIDQ679782

Ryoji Kasagawa

Publication date: 22 January 2018

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

Full work available at URL: https://doi.org/10.2140/agt.2018.18.187

zbMATH Keywords

characteristic classsymplectomorphism groupsimplicial manifold

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Differential topological aspects of diffeomorphisms (57R50)

Cites Work

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• Floer cohomology and pencils of quadrics
• A two-cocycle on the group of symplectic diffeomorphisms
• The second homology group of the mapping class group of an orientable surface
• Crossed flux homomorphisms and vanishing theorems for flux groups
• Characteristic classes of foliated surface bundles with area-preserving holonomy
• The symplectic nature of fundamental groups of surfaces
• Stability of the homology of the mapping class groups of orientable surfaces
• Simplicial De Rham cohomology and characteristic classes of flat bundles
• Continuous cohomology of the group of volume-preserving and symplectic diffeomorphisms, measurable transfer and higher asymptotic cycles
• Casson invariant, signature defect of framed manifolds and the secondary characteristic classes of surface bundles
• Signatures of foliated surface bundles and the symplectomorphism groups of surfaces
• Compatible complex structures on symplectic rational ruled surfaces
• Twistor theory of symplectic manifolds
• On crossed homomorphisms on symplectic mapping class groups
• Periodic Hamiltonian flows on four-dimensional manifolds
• The second homology groups of mapping class groups of orientable surfaces
• Topology of symplectomorphism groups of rational ruled surfaces

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