Non-braid-positive hyperbolic L-space knots
Abstract
An L-space knot is a knot that admits a positive Dehn surgery yielding an L-space.Many known hyperbolic L-space knots are braid positive, meaning they can be represented as the closure of a positive braid.Recently, Baker and Kegel showed that the hyperbolic L-space knot o9_30634 from Dunfield's census is not braid-positive, and they constructed infinitely many candidates for hyperbolic L-space knots that may not be braid-positive.However, it remains unproven whether their examples are genuinely non-braid-positive.In this paper, we construct infinitely many hyperbolic L-space knots that are not braid-positive, and are distinct from those considered by Baker and Kegel.
Fields of Study & Subjects
Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Pacific Journal of Mathematics
- Volume
- 342
- Issue
- 2
- Pages
- 275–297
- Publication date
- 23 April 2026
- Language
- EN