English

When is a band-connected sum equal to the connected sum?

Geometric Topology 2019-03-28 v1

Abstract

We show that a band-connected sum of knots K0K_0 and K1K_1 along a band bb is equal to the connected sum K0#K1K_0\# K_1 if and only if bb is a trivial band.

Cite

@article{arxiv.1903.11266,
  title  = {When is a band-connected sum equal to the connected sum?},
  author = {Katura Miyazaki},
  journal= {arXiv preprint arXiv:1903.11266},
  year   = {2019}
}

Comments

5 pages, 4 figures

R2 v1 2026-06-23T08:20:26.340Z