On Gromov's conjecture for right-angled Artin groups

Published 1 Nov 2023 in math.GT and math.AT | (2311.00573v1)

Abstract: We prove that the universal covering $\Wi M$ of an $n$-dimensional closed spin PSC manifold $M$ whose fundamental group $\pi_1(M)$ is a right-angled Artin group has macroscopic dimension $\dim_{mc}\Wi M\le n-2$. This confirms Gromov's conjecture in the case of right-angled Artin groups.

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