Topological spines of $4$–manifolds

Hee Jung Kim; Daniel Ruberman

doi:10.2140/agt.2020.20.3589

Abstract

We show that infinitely many of the simply connected $4$ –manifolds constructed by Levine and Lidman that do not admit PL spines actually admit topological spines.

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Hee Jung Kim. Daniel Ruberman. "Topological spines of $4$–manifolds." Algebr. Geom. Topol. 20 (7) 3589 - 3606, 2020. https://doi.org/10.2140/agt.2020.20.3589

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Received: 15 May 2019; Revised: 19 December 2019; Accepted: 17 January 2020; Published: 2020

First available in Project Euclid: 5 January 2021

MathSciNet: MR4194289

Digital Object Identifier: 10.2140/agt.2020.20.3589

Subjects:

Primary: 57N13

Secondary: 57Q40 , 57R67

Keywords: 4-manifold , Spine , surgery , topological manifold

Abstract

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