Knots of low knot Floer width
This paper classifies the chain homotopy equivalence types of knot Floer complexes \textup{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.
Authors
- David Popović (ORCID: https://orcid.org/0000-0002-2931-0403)
Institutions
- University of California, Los Angeles (US)
Publication Details
- Journal
- Revista Matemática Iberoamericana
- Published
- 2025-07-25
- DOI
- https://doi.org/10.4171/rmi/1577
- Citations
- 1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 4.09
Funders
- National Science Foundation