Andrew Schoen

Endpoint Tangents and a New Universal Lower Bound for the Ropelength of Nontrivial Knots

Preprint; not peer reviewed. This work sharpens the optimized universal diameter-normalized ropelength bound of Denne, Diao and Sullivan. Obstacle tangent cones, endpoint deficits, circular-turn comparisons, two-moving-point constraints, evolving-polar recovery, and a common-continuation estimate produce an auxiliary j...