The second rational homology of the Torelli group

2025/03/31 by Minahan, Daniel, Putman, Andrew · 3 citations
#Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2504.00211

Abstract

We calculate the second rational homology group of the Torelli group for g ≥ 6.

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• On torsion in the homology of the Torelli group
• Finite generation of abelianizations of the genus 3 Johnson kernel and the commutator subgroup of the Torelli group for Out(F₃)

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