English

Danceability, Directed by Braid Index

Geometric Topology 2024-07-09 v1

Abstract

Schaffer introduced the concept of danceability of a knot diagram. In this paper, we expand upon Schaffer's ideas to create a danceability knot invariant and show that this invariant is bounded above by the braid index.

Cite

@article{arxiv.2407.04828,
  title  = {Danceability, Directed by Braid Index},
  author = {Sol Addison and Nancy Scherich and Lila Snodgrass},
  journal= {arXiv preprint arXiv:2407.04828},
  year   = {2024}
}