Defines swept-area pseudometrics on ropelength-filtered knot spaces, proves non-degeneracy on polygonal strata, exact distances for concentric unknots and ellipses, and rigidity of the ideal unknot.
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Swept-Area Pseudometrics on Ropelength-Filtered Knot Spaces
Defines swept-area pseudometrics on ropelength-filtered knot spaces, proves non-degeneracy on polygonal strata, exact distances for concentric unknots and ellipses, and rigidity of the ideal unknot.