All Outputs (2)

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.

Cyclic quadrilaterals and smooth Jordan curves (2023)
Journal Article
Greene, J. E., & Lobb, A. (2023). Cyclic quadrilaterals and smooth Jordan curves. Inventiones Mathematicae, https://doi.org/10.1007/s00222-023-01212-6

For every smooth Jordan curve γ and cyclic quadrilateral Q in the Euclidean plane, we show that there exists an orientation-preserving similarity taking the vertices of Q to γ. The proof relies on the theorem of Polterovich and Viterbo that an embedd... Read More about Cyclic quadrilaterals and smooth Jordan curves.