The round handle problem

Min Hoon Kim; Mark Powell; Peter Teichner

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arXiv · 1706.09571

The round handle problem

Min Hoon Kim·Mark Powell·Peter Teichner

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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.

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Min Hoon Kim, Mark Powell, Peter Teichner. 2020-07-09. The round handle problem. https://arxiv.org/abs/1706.09571

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