On asymmetric hyperbolic L-space knots of braid index four

Kenneth L. Baker; Masakazu Teragaito

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arXiv · 2510.07618

On asymmetric hyperbolic L-space knots of braid index four

Kenneth L. Baker·Masakazu Teragaito

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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.

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Kenneth L. Baker, Masakazu Teragaito. 2025-10-08. On asymmetric hyperbolic L-space knots of braid index four. https://arxiv.org/abs/2510.07618

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