5 papers
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…
On 3-manifolds admitting co-orientable taut foliations, but none with vanishing Euler class
Steven Boyer, Cameron McA. Gordon, Ying Hu +1
In this article, we construct infinitely many (small Seifert fibred, hyperbolic and toroidal) rational homology -spheres that admit co-orientable taut foliations, but none with…
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…
Non-integer characterizing slopes and knot Floer homology
Duncan McCoy
Conjecturally, a knot in the 3-sphere has only finitely many non-integer non-characterizing slopes. We verify this conjecture for all knots with knot Floer homology satisfying cert…