53 citations · 177 across the 27 of their papers we have counts for
4 papers · 1 filter
On the topological 4-genus of torus knots
Sebastian Baader, Peter Feller, Lukas Lewark +1
We prove that the topological locally flat slice genus of large torus knots takes up less than three quarters of the ordinary genus. As an application, we derive the best possible…
On calculating the slice genera of 11- and 12-crossing knots
Lukas Lewark, Duncan McCoy
This paper contains the results of efforts to determine values of the smooth and the topological slice genus of 11- and 12-crossing knots. Upper bounds for these genera were produc…
The stable 4-genus of alternating knots
Sebastian Baader, Lukas Lewark
We show that the difference between the genus and the stable topological 4-genus of alternating knots is either zero or at least 1/3.
New Quantum Obstructions to Sliceness
Lukas Lewark, Andrew Lobb
It is well-known that generic perturbations of the complex Frobenius algebra used to define Khovanov cohomology each give rise to Rasmussen's concordance invariant s. This gives a…