In the Khovanov homology of links, presence of Z 2-torsion is a very common phenomenon.
Finite number of examples of knots with Z n-torsion for n> 2 were also known, none for n> 8 …

We solve an asymptotic variant of a smooth version of the $ A_n $-realization problem for
plane curves. As an application, we determine the cobordism distance between torus links of …

We construct taut foliations in every closed 3‐manifold obtained by r‐framed Dehn surgery
along a positive 3‐braid knot K in S 3, where r< 2 g (K)− 1 and g (K) denotes the Seifert …

In this note, we give a short proof that knot Floer thickness is a lower bound on the
dealternating number of a knot. The result is originally due to work of Abe and Kishimoto …

The Turaev genus and dealternating number of a link are two invariants that measure how
far away a link is from alternating. We determine the Turaev genus of a torus knot with five or …

We determine the pairs of torus knots that have a genus one cobordism between them, with
one notable exception. This is done by combining obstructions using from the Heegaard …

The Turaev genus and dealternating number of a link are two invariants that measure how
far away a link is from alternating. We determine the Turaev genus of a torus knot with five or …