A linear variant of GT

Published 21 Apr 2021 in math.AG, math.KT, and math.NT | (2104.10504v1)

Abstract: In this work, we introduce a variant of the Grothendieck-Teichm\"uller group, defined in terms of complements of hyperplane arrangements and pro-$\ell$ two-step nilpotent fundamental groups, and prove that it is isomorphic to the absolute Galois group of $\mathbb{Q}$.

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