English

On Gromov's conjecture for right-angled Artin groups

Geometric Topology 2023-11-02 v1 Algebraic Topology

Abstract

We prove that the universal covering \WiM\Wi M of an nn-dimensional closed spin PSC manifold MM whose fundamental group π1(M)\pi_1(M) is a right-angled Artin group has macroscopic dimension dimmc\WiMn2\dim_{mc}\Wi M\le n-2. This confirms Gromov's conjecture in the case of right-angled Artin groups.

Cite

@article{arxiv.2311.00573,
  title  = {On Gromov's conjecture for right-angled Artin groups},
  author = {Alexander Dranishnikov and Satyanath Howladar},
  journal= {arXiv preprint arXiv:2311.00573},
  year   = {2023}
}
R2 v1 2026-06-28T13:08:39.524Z