16 citations · 37 across the 13 of their papers we have counts for
14 papers
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…
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…
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…
Handle number is not always realized by a minimal genus Seifert surface
Kenneth L. Baker, Fabiola Manjarrez-Gutiérrez
We construct genus one knots whose handle number is only realized by Seifert surfaces of non-minimal genus. These are counterexamples to the conjecture that the Seifert genus of a…
The search for alternating surgeries
Kenneth L. Baker, Marc Kegel, Duncan McCoy
Surgery on a knot in is said to be an alternating surgery if it yields the double branched cover of an alternating link. The main theoretical contribution is to show that the…
Quasi-alternating surgeries
Kenneth L. Baker, Marc Kegel, Duncan McCoy
In this article, we explore phenomena relating to quasi-alternating surgeries on knots, where a quasi-alternating surgery on a knot is a Dehn surgery yielding the double branched c…