Round handle problem

Kim, M. H., Powell, M. and Teichner, P. (2021) Round handle problem. Pure and Applied Mathematics Quarterly, 17(1), pp. 237-347. (doi: 10.4310/PAMQ.2021.v17.n1.a6)

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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.

Item Type:Articles
Additional Information:The first author was partly supported by NRF grant 2019R1A3B2067839. The second author was supported by an NSERC Discovery Grant.
Glasgow Author(s) Enlighten ID:Powell, Dr Mark
Authors: Kim, M. H., Powell, M., and Teichner, P.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Pure and Applied Mathematics Quarterly
Publisher:International Press
ISSN (Online):1558-8602
Published Online:11 April 2021
Copyright Holders:Copyright © International Press 2021
First Published:First published in Pure and Applied Mathematics Quarterly 17(1): 237-347
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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