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)

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.

• 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.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Powell, Professor 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: 1558-8599
• 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