3 papers
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…
math.GT2024
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…
math.GT2024
Two curious strongly invertible L-space knots
Kenneth L. Baker, Marc Kegel, Duncan McCoy
We present two examples of strongly invertible L-space knots whose surgeries are never the double branched cover of a Khovanov thin link in the 3-sphere. Consequently, these knots…