On crossed homomorphisms on symplectic mapping class groups

DOI10.1090/S0002-9947-08-04618-7zbMath1158.53056MaRDI QIDQ3522288

Ryoji Kasagawa

Publication date: 1 September 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

mapping class groupsymplectomorphismcrossed homomorphism

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Characteristic classes and numbers in differential topology (57R20) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items

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

Cites Work

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• Crossed flux homomorphisms and vanishing theorems for flux groups
• Characteristic classes of foliated surface bundles with area-preserving holonomy
• Symplectic geometry and secondary characteristic classes
• Characteristic classes in symplectic topology (with an appendix by Ludmil Katzarkov)
• A linear representation of the mapping class group \(\mathcal M\) and the theory of winding numbers
• 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
• Shorter Notes: Some Simple Examples of Symplectic Manifolds
• Corrigenda to: Introduction to Symplectic Topology
• On the Volume Elements on a Manifold