On the Torelli Lie algebra
Forum of Mathematics, Pi, Tome 11 (2023)

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We prove two theorems about the Malcev Lie algebra associated to the Torelli group of a surface of genus g: Stably, it is Koszul and the kernel of the Johnson homomorphism consists only of trivial $\mathrm {Sp}_{2g}(\mathbb {Z})$-representations lying in the centre.
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Alexander Kupers; Oscar Randal-Williams. On the Torelli Lie algebra. Forum of Mathematics, Pi, Tome 11 (2023). doi: 10.1017/fmp.2023.10

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