3 papers
math.GT2026
Symmetric ribbon numbers of low-complexity knots
Sajid Raihan Akash, Eric Corrado, Bishop Placke +4
Every knot that admits a symmetric union presentation bounds an immersed ribbon disk in , while the converse is an open problem due to Christoph Lamm. The symm…
math.GT2024
Ribbon numbers of 12-crossing knots
Xianhao An, Matthew Aronin, David Cates +14
The ribbon number of a knot is the minimum number of ribbon singularities among all ribbon disks bounded by that knot. In this paper, we build on the systematic treatment of this k…
math.GT2024
Bounding the ribbon numbers of knots and links
Stefan Friedl, Filip Misev, Alexander Zupan
The ribbon number of a ribbon knot is the minimal number of ribbon intersections contained in any ribbon disk bounded by . We find new lower bounds for $r…