Casson's invariant for homology 3-spheres and characteristic classes of surface bundles

DOI10.3792/PJAA.63.229zbMath0641.57004OpenAlexW2093455531MaRDI QIDQ1100770

Shigeyuki Morita

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.63.229

zbMATH Keywords

Casson invariantTorelli grouphomology 3-spherecharacteristic classes of surface bundles3-dimensional handle-bodygroup of mapping classes

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Fiber bundles in algebraic topology (55R10)

Related Items (1)

Torelli group, Johnson kernel, and invariants of homology spheres

Cites Work

• The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
• Casson's invariant for homology 3-spheres and the mapping class group
• Families of Jacobian manifolds and characteristic classes of surface bundles. I
• An abelian quotient of the mapping class group \(\mathfrak S\)
• On Siegel's modular group
• A survey of the Torelli group
• Braids, Links, and Mapping Class Groups. (AM-82)
• On Homeomorphisms of a 3-Dimensional Handlebody
• The μ-Invariant of 3-Manifolds and Certain Structural Properties of the Group of Homeomorphisms of a Closed, Oriented 2-Manifold
• Characteristic classes of surface bundles

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