Fibered ribbon pretzels
Geometric Topology
2025-12-04 v2 Algebraic Topology
Abstract
We classify fibered ribbon pretzel knots up to mutation. The classification is complete, except perhaps for members of Lecuona's ``exceptional'' family of [Lec15]. 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.
Cite
@article{arxiv.2408.03644,
title = {Fibered ribbon pretzels},
author = {Ana G. Lecuona and Andy Wand},
journal= {arXiv preprint arXiv:2408.03644},
year = {2025}
}
Comments
This new version incorporates the comments of the referee and has been accepted for publication in Bulletin of the LMS