Work

Crossing numbers of cable knots

Year: 2024

Type: article

Abstract: We use the degree of the colored Jones knot polynomials to show that the crossing number of a ‐cable of an adequate knot with crossing number is larger than . As an application, we determine the crossing number of 2‐cables of adequate knots. We also determine the crossing number of the connected sum of any adequate knot with a 2‐cable of an adequate knot.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.13140

Authors: Efstratia Kalfagianni, Rob Mcconkey

Institutions: Michigan State University, Colorado State University Pueblo

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

Funder: National Science Foundation