3 papers
math.GT2026
Signs of knot polynomial evaluations from a topological perspective
Luana Jost, Lukas Lewark
We prove that for knots, the evaluation of the Jones polynomial at the sixth root of unity, as well as the evaluation of the -polynomial at the reciprocal of the golden ratio, a…
math.GT2025
Monodromies of surfaces in 3-manifolds, right-veeringness, and primeness of links
Peter Feller, Lukas Lewark, Miguel Orbegozo Rodriguez
Extending the notion of monodromies associated with open books of -manifolds, we consider monodromies for all incompressible surfaces in -manifolds as partial self-maps of th…
math.GT2019
Untwisting 3-strand torus knots
Sebastian Baader, Ian Banfield, Lukas Lewark
We prove that the signature bound for the topological 4-genus of 3-strand torus knots is sharp, using McCoy's twisting method. We also show that the bound is off by at most 1 for 4…