On asymmetric hyperbolic L-space knots of braid index four
Geometric Topology
2025-10-10 v1
Abstract
A knot is called an L-space knot if it admits a positive Dehn surgery yielding an L-space. In the SnapPy census, there are exactly 9 asymmetric L-space knots. Among them, the knot t12533 is the only known example of braid index 4. We generalize this knot, and give the first infinite family of asymmetric hyperbolic L-space knots of braid index 4.
Cite
@article{arxiv.2510.07618,
title = {On asymmetric hyperbolic L-space knots of braid index four},
author = {Kenneth L. Baker and Masakazu Teragaito},
journal= {arXiv preprint arXiv:2510.07618},
year = {2025}
}
Comments
5 pages, 3 figures