Outputs (3)

Squeezed knots (2024)
Journal Article
Feller, P., Lewark, L., & Lobb, A. (online). Squeezed knots. Quantum Topology, https://doi.org/10.4171/qt/187

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 large and discuss how to obstruct squeezedness. The most effective obst... Read More about Squeezed knots.

On the values taken by slice torus invariants (2023)
Journal Article
FELLER, P., LEWARK, L., & LOBB, A. (2023). On the values taken by slice torus invariants. Mathematical Proceedings of the Cambridge Philosophical Society, 176(1), 55-63. https://doi.org/10.1017/s0305004123000403

We study the space of slice torus invariants. In particular we characterise the set of values that slice torus invariants may take on a given knot in terms of the stable smooth slice genus. Our study reveals that the resolution of the local Thom conj... Read More about On the values taken by slice torus invariants.

Rasmussen's spectral sequences and the sl_N-concordance invariants (2014)
Journal Article
Lewark, L. (2014). Rasmussen's spectral sequences and the sl_N-concordance invariants. Advances in Mathematics, 260, 59-83. https://doi.org/10.1016/j.aim.2014.04.003

Combining known spectral sequences with a new spectral sequence relating reduced and unreduced slN-homology yields a relationship between the Homflypt-homology of a knot and its slN-concordance invariants. As an application, some of the slN-concordan... Read More about Rasmussen's spectral sequences and the sl_N-concordance invariants.