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Möbius energy of thick knots
Journal article

Möbius energy of thick knots

Eric J. Rawdon and Jonathan Simon
Topology and its Applications, Vol.125(1), pp.97-109
10/30/2002

Abstract

Möbius energy Knot energy Ropelength Thickness Physical knots Mathematics

The Möbius energy of a knot is an energy functional for smooth curves based on an idea of self-repelling. If a knot has a thick tubular neighborhood, we would intuitively expect the energy to be low. In this paper, we give explicit bounds for energy in terms of the ropelength of the knot, i.e., the ratio of the length of a thickest tube to its radius

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