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arXiv · 1506.03017

$H^2(SL_3(\mathbb{Z}[t]); \mathbb{Q})$ is infinite dimensional

Morgan Cesa·Brendan Kelly
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Abstract

We prove that $H^2(SL_3(\mathbb{Z}[t]); \mathbb{Q})$ is infinite dimensional. The proof follows an outline similar to recent results by Cobb, Kelly, and Wortman, using the Euclidean building for $SL_3(\mathbb{Q}((t^{-1})))$ and a Morse function from Bux-K\"ohl-Witzel.

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Morgan Cesa, Brendan Kelly. 2015-06-09. $H^2(SL_3(\mathbb{Z}[t]); \mathbb{Q})$ is infinite dimensional. https://arxiv.org/abs/1506.03017

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