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arXiv · 1901.01862

On the cohomology of Torelli groups

Alexander Kupers·Oscar Randal-Williams
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Abstract

We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds $\#^g S^n \times S^n$ relative to a disc in a stable range, for $2n \geq 6$. Our calculation is also valid for $2n=2$ assuming that the rational cohomology groups of these Torelli groups are finite dimensional in a stable range.

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Alexander Kupers, Oscar Randal-Williams. 2019-01-07. On the cohomology of Torelli groups. https://doi.org/10.1017/fmp.2020.5

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