Topological 4-manifolds with right-angled Artin fundamental groups

Ian Hambleton; Alyson Hildum

doi:10.1142/s1793525319500328

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arXiv · 1411.5662

Topological 4-manifolds with right-angled Artin fundamental groups

Ian Hambleton·Alyson Hildum

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Abstract

We classify closed, topological spin$^+$ 4-manifolds with fundamental group $π$ of cohomological dimension $\leq 3$ (up to s-cobordism), after stabilization by connected sum with at most $b_3(π)$ copies of $S^2\times S^2$. In general we must also assume that $π$ also 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 groups whose defining graphs have no 4-cliques.

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BibTeX RIS

Ian Hambleton, Alyson Hildum. 2018-04-12. Topological 4-manifolds with right-angled Artin fundamental groups. https://doi.org/10.1142/s1793525319500328

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