On hyperbolic L-space knots with braid index four and tunnel number two

Masakazu Teragaito

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arXiv · 2604.16857

On hyperbolic L-space knots with braid index four and tunnel number two

Masakazu Teragaito

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Abstract

There are only three known strongly invertible hyperbolic L-space knots with braid index four and tunnel number two. They are t09284, t10496 and o9_34409 in the SnapPy census. In this paper, we give the first infinite family of strongly invertible hyperbolic L-space knots with braid index four and tunnel number two that includes t10496 and o9_34409.

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Masakazu Teragaito. 2026-04-18. On hyperbolic L-space knots with braid index four and tunnel number two. https://arxiv.org/abs/2604.16857

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