Homological infiniteness of decorated Torelli groups and Torelli spaces

DOI10.2748/tmj/1178207536zbMath0998.57041OpenAlexW1974609041MaRDI QIDQ5937399

Toshiyuki Akita

Publication date: 27 November 2002

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178207536

zbMATH Keywords

Teichmüller space

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Other groups related to topology or analysis (20F38) Connections of group theory with homological algebra and category theory (20J99) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Cites Work

• Unnamed Item
• The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
• The Torelli groups for genus 2 and 3 surfaces
• On the homology of Torelli groups and Torelli spaces
• 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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