53 citations · 177 across the 27 of their papers we have counts for
4 papers · 1 filter
Rasmussen invariants of Whitehead doubles and other satellites
Lukas Lewark, Claudius Zibrowius
We prove formulae for the -Rasmussen invariant of satellite knots of patterns with wrapping number 2, using the multicurve technology for Khovanov and Bar-Natan homol…
Quasipositivity and braid index of pretzel knots
Lukas Lewark
This short note is about three-stranded pretzel knots that have an even number of crossings in one of the strands. We calculate the braid index of such knots and determine which of…
On the values taken by slice torus invariants
Peter Feller, Lukas Lewark, Andrew Lobb
We study the space of slice-torus invariants. In particular we characterize the set of values that slice-torus invariants may take on a given knot in terms of the stable smooth sli…
Squeezed Knots
Peter Feller, Lukas Lewark, Andrew Lobb
Squeezed knots are those knots that appear as slices of genus-minimizing oriented smooth cobordisms between positive and negative torus knots. We show that this class of knots is l…