Work

Knots of low knot Floer width

Year: 2025

Type: article

Abstract: 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.

Source: Revista Matemática Iberoamericana

DOI: 10.4171/rmi/1577

Author: David Popović

Institution: University of California, Los Angeles

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Science Foundation

Award: Higher-dimensional contact topology