Round handle problem

Min Hoon Kim; Mark Powell; Peter Teichner

doi:10.4310/PAMQ.2021.v17.n1.a6

Round handle problem

Min Hoon Kim, Mark Powell, Peter Teichner

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We present the Round Handle Problem (RHP), proposed by Freedman and Krushkal. It asks whether a collection of links, which contains the Generalised Borromean Rings (GBRs), are slice in a 4-manifold R constructed from adding round handles to the four ball. A negative answer would contradict the union of the surgery conjecture and the s-cobordism conjecture for 4- manifolds with free fundamental group.

Original language	English
Pages (from-to)	237-247
Number of pages	11
Journal	Pure and Applied Mathematics Quarterly
Volume	17
Issue number	1
DOIs	https://doi.org/10.4310/PAMQ.2021.v17.n1.a6
State	Published - 2021

Bibliographical note

Publisher Copyright:
© 2021, International Press, Inc.. All rights reserved.

Keywords

Round handle problem
S-cobordism
Topological surgery

Access to Document

10.4310/PAMQ.2021.v17.n1.a6

Cite this

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abstract = "We present the Round Handle Problem (RHP), proposed by Freedman and Krushkal. It asks whether a collection of links, which contains the Generalised Borromean Rings (GBRs), are slice in a 4-manifold R constructed from adding round handles to the four ball. A negative answer would contradict the union of the surgery conjecture and the s-cobordism conjecture for 4- manifolds with free fundamental group.",

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KW - S-cobordism

KW - Topological surgery

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Round handle problem

Abstract

Bibliographical note

Keywords

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