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Topological 4-manifolds with right-angled Artin...
Journal article

Topological 4-manifolds with right-angled Artin fundamental groups

Abstract

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

Authors

Hambleton I; Hildum A

Journal

Journal of Topology and Analysis, Vol. 11, No. 04, pp. 777–821

Publisher

World Scientific Publishing

Publication Date

December 1, 2019

DOI

10.1142/s1793525319500328

ISSN

1793-5253

Labels

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