Moebius energy of thick knots

Details Moebius energy of thick knots Moebius energy of thick knots

2001-08-30

arxiv.org/abs/math/0108215v1

Mathematics

Geometric Topology

16 pages

Scientific paper

The Moebius 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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