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arXiv · 2311.11507

A note on rational band moves

Daren Chen·Jennifer Hom·Min Hoon Kim·JungHwan Park·Zhongtao Wu
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Abstract

We introduce an oriented rational band move, a generalization of an ordinary oriented band move, and show that if a knot $K$ in the three-sphere can be made into the $(n+1)$-component unlink by $n$ oriented rational band moves, then $K$ is rationally slice.

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Daren Chen, Jennifer Hom, Min Hoon Kim, JungHwan Park, Zhongtao Wu. 2023-11-20. A note on rational band moves. https://arxiv.org/abs/2311.11507

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