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arXiv · 2207.14187

The $(2,1)$-cable of the figure-eight knot is not smoothly slice

Irving Dai·Sungkyung Kang·Abhishek Mallick·JungHwan Park·Matthew Stoffregen
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Abstract

We prove that the $(2,1)$-cable of the figure-eight knot is not smoothly slice by showing that its branched double cover bounds no equivariant homology ball.

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Irving Dai, Sungkyung Kang, Abhishek Mallick, JungHwan Park, Matthew Stoffregen. 2024-08-30. The $(2,1)$-cable of the figure-eight knot is not smoothly slice. https://arxiv.org/abs/2207.14187

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