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arxiv: 2301.06175 · v2 · pith:2VA6FA4N · submitted 2023-01-15 · math.GT · math.GN

The cohomological dimension of the terms of the Johnson filtration

Daniel Minahan This is my paper

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classification math.GT math.GN
keywords cohomologicaldimensionfiltrationjohnsonanswersbestvina--bux--margalitclosedfarb
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We prove that the $k$th term of the Johnson filtration of a closed, orientable surface of genus $g \geq 2$ has cohomological dimension $2g - 3$ for all $k \geq 3$ and $g \geq 2$. This answers a question of Farb and Bestvina--Bux--Margalit.

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