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Milnor's inequality and circular elastic knots

Miura, Tatsuya
arXiv (All) · Papers
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57k10analysis-of-pdesdifferential-geometrygeometric-topology
We establish the extension of Milnor's inequality, relating total curvature with the bridge index, to the $C^1$-closure of a knot class, without any restriction on the self-intersections of the limit curve. Together with recent work of Reiter--von der Mosel, this resolves the circular elastic knot c
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