Fibered ribbon pretzels
Abstract
Abstract We classify fibered ribbon pretzel knots up to mutation. The classification is complete, except perhaps for members of Lecuona's “exceptional” family of Lecuona [Algebr. Geom. Topol. 15 (2015), no. 4, 2133–2173]. The result is obtained by combining lattice embedding techniques with Gabai's classification of fibered pretzel knots, and exhibiting ribbon disks, some of which lie outside of known patterns for standard pretzel projections.
Fields of Study & Subjects
Geometric and Algebraic Topology
Algebraic Geometry and Number Theory
Advanced Graph Theory Research
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN