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math.GT2025
On asymmetric hyperbolic L-space knots of braid index four
Kenneth L. Baker, Masakazu Teragaito
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…
math.GT2025
Asymptotic behavior of unknotting numbers of links in a twist family
Kenneth L. Baker, Yasuyuki Miyazawa, Kimihiko Motegi
By twisting a given link along an unknotted circle , we obtain an infinite family of links . We introduce the ``stable unknotting number'' which describes the asy…
math.GT2025
Knots not detected by any trace
Kenneth L. Baker, Marc Kegel, Kimihiko Motegi
The first and last named authors have demonstrated the existence of knots for which every integral slope is non-characterizing. In this short note, we extend this result in two way…