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arxiv: 2504.00211 · v1 · pith:C7YKEWAL · submitted 2025-03-31 · math.GT · math.AT

The second rational homology of the Torelli group

Daniel Minahan , Andrew Putman This is my paper

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keywords grouphomologyrationalsecondtorellicalculate
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We calculate the second rational homology group of the Torelli group for $g \geq 6$.

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Cited by 3 Pith papers

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

  1. Finite generation, algebraicity, and representation stability for homology of Torelli groups

    math.GT 2026-06 unverdicted novelty 8.0

    Proves finite generation of H_k(I_g; Z) for k ≤ g-2 and that rational homology is an algebraic Sp(2g,Z)-representation, turning conditional cohomology computations into theorems and proving Morita's conjecture.

  2. Torsion in the homology of the Torelli group and the Birman-Craggs-Johnson homomorphism

    math.GT 2026-07 unverdicted novelty 6.0

    The Birman-Craggs-Johnson homomorphism is injective on the subgroup of H_k(I_g) generated by abelian cycles from disjoint separating Dehn twists, for k ≤ g-2.

  3. 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.