activity
20192026
most citedL-space knots with tunnel number >1 by experiment

3 citations · 4 across the 5 of their papers we have counts for

collaborators

6 papers

math.GT2026

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…

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

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…

math.GT2019★ 3 cited

L-space knots with tunnel number >1 by experiment

Chris Anderson, Kenneth L. Baker, Xinghua Gao +8

In Dunfield's catalog of the hyperbolic manifolds in the SnapPy census which are complements of L-space knots in , we determine that have tunnel number while the rema…