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arxiv: 1711.04779 · v3 · pith:HBVND2EQnew · submitted 2017-11-13 · 🧮 math.GR · math.GT

On finite generation of the Johnson filtrations

Thomas Church , Mikhail Ershov , Andrew Putman This is my paper
classification 🧮 math.GR math.GT
keywords groupfiltrationsjohnsonautomorphismcentralclassershovevery
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We prove that every term of the lower central series and Johnson filtrations of the Torelli subgroups of the mapping class group and the automorphism group of a free group is finitely generated in a linear stable range. This was originally proved for the second terms by Ershov and He.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quasi-homomorphisms on mapping class groups vanishing on a handlebody group

    math.GT 2019-07 unverdicted novelty 7.0

    Constructs infinitely many linearly independent quasi-homomorphisms on mapping class groups of genus ≥2 surfaces vanishing on handlebody subgroups, disproving Reznikov's bounded-width conjecture for Heegaard splittings.

  2. Calculating the second rational cohomology group of the Torelli group

    math.GT 2026-04 unverdicted novelty 2.0

    An exposition of the calculation of the second rational cohomology group of the Torelli group using the Johnson homomorphism and two key prior results.