A Note on Rational Band Moves

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2024年5月14日

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Daren Chen,
Jennifer Hom,
Min Hoon Kim,
JungHwan Park,
Zhongtao Wu

摘要

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 $(n+1)$ $(n + 1)$ -component unlink by n oriented rational band moves, then K is rationally slice.