English

A note on rational band moves

Geometric Topology 2023-11-21 v1

Abstract

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

Keywords

Cite

@article{arxiv.2311.11507,
  title  = {A note on rational band moves},
  author = {Daren Chen and Jennifer Hom and Min Hoon Kim and JungHwan Park and Zhongtao Wu},
  journal= {arXiv preprint arXiv:2311.11507},
  year   = {2023}
}
R2 v1 2026-06-28T13:25:39.597Z