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math.GT2025
On knots that divide ribbon knotted surfaces
Hans U. Boden, Ceyhun Elmacioglu, Anshul Guha +4
We define a knot to be half ribbon if it is the cross-section of a ribbon 2-knot, and observe that ribbon implies half ribbon implies slice. We introduce the half ribbon genus of a…
math.GT2024
Mutation, surface graphs, and alternating links in surfaces
Hans U. Boden, Zsuzsanna Dancso, Damian J. Lin +1
In this paper, we study alternating links in thickened surfaces in terms of the lattices of integer flows on their Tait graphs. We use this approach to give a short proof of the fi…