On Gromov's conjecture for right-angled Artin groups

Autor:	Dranishnikov, Alexander, Howladar, Satyanath
Rok vydání:	2023
Předmět:	Mathematics - Geometric Topology Mathematics - Algebraic Topology
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2311.00573 Zobrazit plný text záznamu View this record from Arxiv