Computes symmetric ribbon numbers r_s(K) for knots of crossing number ≤12 and supplies polynomial lower bounds.
A systematic classification of knotoids on the plane and on the sphere
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
In this paper we generate and systematically classify all prime planar knotoids with up to 5 crossings. We also extend the existing list of knotoids in $S^2$ and add all knotoids with 6 crossings.
fields
math.GT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Symmetric ribbon numbers of low-complexity knots
Computes symmetric ribbon numbers r_s(K) for knots of crossing number ≤12 and supplies polynomial lower bounds.