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math.GT2024
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…
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★ 1 cited
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…