On finiteness properties of the Johnson filtrations

DOI10.1215/00127094-2018-0005zbMath1498.20082arXiv1703.04190OpenAlexW3099313305MaRDI QIDQ1653123

Sue He, Mikhail V. Ershov

Publication date: 17 July 2018

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04190

zbMATH Keywords

finiteness propertiesmapping class groupJohnson filtrationJohnson kernelTorelli subgroupautomorphism group of a free group

Mathematics Subject Classification ID

Geometric group theory (20F65) Cohomology of groups (20J06) Topological methods in group theory (57M07) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Associated Lie structures for groups (20F40)

Related Items (15)

On finite generation of the Johnson filtrations ⋮ \(C^1\) actions on the circle of finite index subgroups of \(\mathrm{Mod}(\Sigma_g)\), \(\mathrm{Aut}(F_n)\), and \(\mathrm{Out}(F_n)\) ⋮ Lower central subgroups of a free group and its subgroup ⋮ Topological invariants of groups and Koszul modules ⋮ Johnson homomorphisms ⋮ Effective finite generation for \([\mathrm{IA}_n,\mathrm{IA}_n\) and the Johnson kernel] ⋮ Framed mapping class groups and the monodromy of strata of abelian differentials ⋮ Torelli group, Johnson kernel, and invariants of homology spheres ⋮ Applications of quantum representations of mapping class groups ⋮ Surgery equivalence relations for 3-manifolds ⋮ Weak commutativity, virtually nilpotent groups, and Dehn functions ⋮ Unnamed Item ⋮ Equivariant group presentations and the second homology group of the Torelli group ⋮ Quotients of the mapping class group by power subgroups ⋮ Retraction of: ``Linear representations of hyperelliptic mapping class groups

Cites Work

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