On the structure of the top homology group of the Johnson kernel

DOI10.2140/AGT.2024.24.3641MaRDI QIDQ6657450

Author name not available (Why is that?)

Publication date: 6 January 2025

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

zbMATH Keywords

mapping classDehn twistTorelli groupJohnson kernelcompact oriented surfaceabelian cycle

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Cites Work

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• Generating the Torelli group
• Abelian and solvable subgroups of the mapping class group
• The structure of the Torelli group. II: A characterization of the group generated by twists on bounding curves
• The Torelli groups for genus 2 and 3 surfaces
• The cohomology ring of the colored braid group
• On finiteness properties of the Johnson filtrations
• Arithmetic group symmetry and finiteness properties of Torelli groups
• On finite generation of the Johnson filtrations
• Torelli group, Johnson kernel, and invariants of homology spheres
• The abelianization of the Johnson kernel
• The dimension of the Torelli group
• On a spectral sequence for the action of the Torelli group of genus on the complex of cycles

Related Items (1)

On infinitely generated homology of Torelli groups

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