English

Knots of low knot Floer width

Geometric Topology 2024-05-16 v1

Abstract

This paper classifies the chain homotopy equivalence types of knot Floer complexes CFKF[U,V](K)CFK_{\mathbb{F}[U,V]}(K) of knot Floer width 2. They have no nontrivial local systems. As an application, this shows that all Montesinos knots admit a basis that can be simultaneously horizontally and vertically simplified.

Keywords

Cite

@article{arxiv.2405.08993,
  title  = {Knots of low knot Floer width},
  author = {David Popović},
  journal= {arXiv preprint arXiv:2405.08993},
  year   = {2024}
}

Comments

23 pages

R2 v1 2026-06-28T16:27:37.487Z