Invariants of \(\mathbb{Z}/p\)-homology 3-spheres from the abelianization of the level-\(p\) mapping class group

DOI10.4171/qt/196arXiv2103.15519OpenAlexW4388750432MaRDI QIDQ6123814

Wolfgang Pitsch, Ricard Riba

Publication date: 8 April 2024

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.15519

zbMATH Keywords

Heegaard splittingsrational homology sphereslevel-\(p\) mapping class group

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Cites Work

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• Trivial cocycles and invariants of homology 3-spheres
• The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
• A formula for the determinant of a sum of matrices
• On the structure of the Torelli group and the Casson invariant
• The extension of Johnson's homomorphism from the Torelli group to the mapping class group
• Cohomology of split group extensions
• Cohomology of symplectic groups and Meyer's signature theorem
• Casson's invariant for homology 3-spheres and characteristic classes of surface bundles. I
• A seven-term exact sequence for the cohomology of a group extension.
• Automorphisms of descending mod-\(p\) central series
• The abelianization of the level d mapping class group
• Group Extensions By Primary Abelian Groups
• Integral homology $3$-spheres and the Johnson filtration
• Differential Topology
• Three-Dimensional Manifolds and Their Heegaard Diagrams
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• Symplectic modulary groups
• On the Graded Ring of Theta-Constants
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• Homology cylinders: an enlargement of the mapping class group
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