The bridge index and the braid index for twist positive knots
Abstract
In general, the bridge index of a knot is less than or equal to its braid index. A natural question is when these two values coincide. Motivated by a conjecture of Krishna and Morton, we prove that the bridge index and the braid index coincide for all twist positive knots, using the knot Floer torsion order. Here, a twist positive knot is a knot that admits a positive braid representative containing at least one full twist.
Fields of Study & Subjects
Geometric and Algebraic Topology
Connective tissue disorders research
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Publication date
- 11 September 2026
- Language
- EN