A Note on Rational Band Moves

Daren Chen; Jennifer Hom; Min Hoon Kim; Jung Hwan Park; Zhongtao Wu

doi:10.1007/s44007-024-00107-z

A Note on Rational Band Moves

Daren Chen
, Jennifer Hom
, Min Hoon Kim
, Jung Hwan Park
, Zhongtao Wu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	777-782
Number of pages	6
Journal	Matematica
Volume	3
Issue number	2
DOIs	https://doi.org/10.1007/s44007-024-00107-z
State	Published - Jun 2024

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© The Author(s) 2024.

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title = "A Note on Rational Band Moves",

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.",

author = "Daren Chen and Jennifer Hom and Kim, \{Min Hoon\} and Park, \{Jung Hwan\} and Zhongtao Wu",

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doi = "10.1007/s44007-024-00107-z",

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AU - Wu, Zhongtao

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AB - 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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DO - 10.1007/s44007-024-00107-z

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JO - Matematica

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A Note on Rational Band Moves

Abstract

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