No Access

Topological four-manifolds with right-angled Artin fundamental groups: corrigendum

Ian Hambleton

https://orcid.org/0000-0002-7501-463X

Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario L8S 4K1, Canada

Department of Mathematics, Roger Williams University, 1 Old Ferry Road, Bristol, RI 02809, USA

E-mail Address: hambleton@mcmaster.ca

Search for more papers by this author

and

Alyson Hildum

Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario L8S 4K1, Canada

Department of Mathematics, Roger Williams University, 1 Old Ferry Road, Bristol, RI 02809, USA

E-mail Address: ahildum@rwu.edu

Search for more papers by this author

https://doi.org/10.1142/S1793525324500249Cited by:0 (Source: Crossref)

Abstract

We correct the stability bound in our classification of closed, spin $^{+}$ $^{+}$ , topological four-manifolds with fundamental group $π$ $π$ of cohomological dimension $\leq 3$ $\leq 3$ (up to $s$ $s$ -cobordism), after stabilization by connected sum with copies of $S^{2} \times S^{2}$ $S^{2} \times S^{2}$ . If $π$ $π$ is a right-angled Artin group whose defining graphs have no four-cliques, then the new stability bound is $r \geq max (b_{3} (π), 6)$ $r \geq max (b_{3} (π), 6)$ . The other results of the paper are not affected.