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Topological 4-manifolds with right-angled Artin fundamental groups

    https://doi.org/10.1142/S1793525319500328Cited by:2 (Source: Crossref)

    We classify closed, spin+, topological 4-manifolds with fundamental group π of cohomological dimension 3 (up to s-cobordism), after stabilization by connected sum with at most b3(π) copies of S2×S2. In general, we must also assume that π satisfies certain K-theory and assembly map conditions. Examples for which these conditions hold include the torsion-free fundamental groups of 3-manifolds and all right-angled Artin groupswhose defining graphs have no 4-cliques.

    AMSC: 57N13, 57R65, 20F36