Topological -manifolds with right-angled Artin fundamental groups
Abstract
We classify closed, spin, topological -manifolds with fundamental group of cohomological dimension (up to -cobordism), after stabilization by connected sum with at most copies of . In general, we must also assume that satisfies certain -theory and assembly map conditions. Examples for which these conditions hold include the torsion-free fundamental groups of -manifolds and all right-angled Artin groupswhose defining graphs have no -cliques.