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2005 Surgery and involutions on 4–manifolds
Vyacheslav S Krushkal
Algebr. Geom. Topol. 5(4): 1719-1732 (2005). DOI: 10.2140/agt.2005.5.1719

Abstract

We prove that the canonical 4–dimensional surgery problems can be solved after passing to a double cover. This contrasts the long-standing conjecture about the validity of the topological surgery theorem for arbitrary fundamental groups (without passing to a cover). As a corollary, the surgery conjecture is reformulated in terms of the existence of free involutions on a certain class of 4–manifolds. We consider this question and analyze its relation to the A,B–slice problem.

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Vyacheslav S Krushkal. "Surgery and involutions on 4–manifolds." Algebr. Geom. Topol. 5 (4) 1719 - 1732, 2005. https://doi.org/10.2140/agt.2005.5.1719

Information

Received: 17 May 2005; Accepted: 2 December 2005; Published: 2005
First available in Project Euclid: 20 December 2017

zbMATH: 1084.57017
MathSciNet: MR2186117
Digital Object Identifier: 10.2140/agt.2005.5.1719

Subjects:
Primary: 57N13
Secondary: 57M10, 57M60

Rights: Copyright © 2005 Mathematical Sciences Publishers

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