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An infinite family of strongly invertible L-space knots without Khovanov thin surgery
Marc Kegel, Masakazu Teragaito
Currently, there exist only three strongly invertible L-space knots that are known to admit no Khovanov thin surgery. In this article, we give the first infinite family of such kno…
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…
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…
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…