On finite generation of the Johnson filtrations
From MaRDI portal
Publication:2135443
DOI10.4171/JEMS/1157MaRDI QIDQ2135443
Thomas Church, Andrew Putman, Mikhail V. Ershov
Publication date: 6 May 2022
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.04779
Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Associated Lie structures for groups (20F40)
Related Items (7)
Topological invariants of groups and Koszul modules ⋮ 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 ⋮ Surgery equivalence relations for 3-manifolds ⋮ Alternative versions of the Johnson homomorphisms and the LMO functor ⋮ Unnamed Item ⋮ Equivariant group presentations and the second homology group of the Torelli group
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Erratum to: ``Automorphisms of free groups. I
- Automorphisms of free groups. I.
- On the lower central series of the IA-automorphism group of a free group.
- Generating the mapping class group. (An algebraic approach)
- The BNS-invariant for the pure braid groups.
- Characterizing a free group in its automorphism group
- A presentation for the special automorphism group of a free group
- The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
- A note on the connectivity of certain complexes associated to surfaces
- 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
- A geometric invariant of discrete groups
- Finite type 3-manifold invariants and the structure of the Torelli group. I
- On finiteness properties of the Johnson filtrations
- The third subgroup of the Andreadakis-Johnson filtration of the automorphism group of a free group
- Arithmetic group symmetry and finiteness properties of Torelli groups
- The complex of partial bases for \(F_n\) and finite generation of the Torelli subgroup of \(\Aut(F_n)\).
- Torelli group, Johnson kernel, and invariants of homology spheres
- Tethers and homology stability for surfaces
- On the second homology group of the Torelli subgroup of \(\Aut(F_n)\)
- Representation stability and finite linear groups
- The abelianization of the Johnson kernel
- Dimension of the Torelli group for \(\text{Out}(F_n)\).
- Generating the Johnson filtration
- The Johnson homomorphism and the second cohomology of \(\text{IA}_n\).
- A survey of the Torelli group
- Homeomorphisms of a Surface which Act Trivially on Homology
- Completions of mapping class groups and the cycle $C - C^-$
- Infinitesimal presentations of the Torelli groups
- The Bieri-Neumann-Strebel Invariants for Graph Groups
- Homological finiteness in the Johnson filtration of the automorphism group of a free group
- Morita’s trace maps on the group of homology cobordisms
- Induced Automorphisms of Free Groups and Free Metabelian Groups
- On the Automorphisms of Free Groups and Free Nilpotent Groups
- Die Gruppe der Abbildungsklassen. (Das arithmetische Feld auf Flächen.)
This page was built for publication: On finite generation of the Johnson filtrations