On the homology of Torelli groups and Torelli spaces

DOI10.3792/pjaa.75.7zbMath0959.57011OpenAlexW2060576294MaRDI QIDQ1293934

Toshiyuki Akita

Publication date: 29 June 1999

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.75.7

zbMATH Keywords

rational homology of Torelli groups

Mathematics Subject Classification ID

Related Items (2)

Finiteness properties of the Johnson subgroups ⋮ Homological infiniteness of decorated Torelli groups and Torelli spaces

Cites Work

• The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
• The structure of the Torelli group. II: A characterization of the group generated by twists on bounding curves
• The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
• The genus 2 Torelli group is not finitely generated
• On the structure of the Torelli group and the Casson invariant
• The Torelli groups for genus 2 and 3 surfaces
• An abelian quotient of the mapping class group \(\mathfrak S\)
• Finite type 3-manifold invariants and the structure of the Torelli group. I
• Casson invariant, signature defect of framed manifolds and the secondary characteristic classes of surface bundles
• On the structure and the homology of the Torelli group
• Casson's invariant for homology 3-spheres and characteristic classes of surface bundles. I
• A survey of the Torelli group
• Infinitesimal presentations of the Torelli groups
• Mapping Class Groups and Moduli Spaces of Curves
• Torelli Groups and Geometry of Moduli Spaces of Curves
• Homological infiniteness of Torelli groups

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