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Journal Article

The round handle problem

MPS-Authors
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Kim,  Min Hoon
Max Planck Institute for Mathematics, Max Planck Society;

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Powell,  Mark
Max Planck Institute for Mathematics, Max Planck Society;

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Teichner,  Peter
Max Planck Institute for Mathematics, Max Planck Society;

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Fulltext (public)

1706.09571.pdf
(Preprint), 147KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Kim, M. H., Powell, M., & Teichner, P. (2021). The round handle problem. Pure and Applied Mathematics Quarterly, 17(1), 237-247. doi:10.4310/PAMQ.2021.v17.n1.a6.


Cite as: http://hdl.handle.net/21.11116/0000-0008-B787-1
Abstract
We present the Round Handle Problem, proposed by Freedman and Krushkal. It asks whether a collection of links, which contains the Generalised Borromean Rings, 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.