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Your search keyword '"Jun O'Hara"' showing total 2 results
Start Over Author "Jun O'Hara" Topic mathematics::geometric topology Publisher elsevier bv
2 results on '"Jun O'Hara"'

1. Energy functionals of knots II

Author

Jun O'Hara

Subjects
Knot complement, Energy, Knot, Mathematical analysis, Fibered knot, Möbius energy, Torus, Knot energy, Mathematics::Geometric Topology, Combinatorics, Knot (unit), Knot invariant, Geometry and Topology, Minimizer, Computer Science::Databases, Mathematics, Energy functional
Abstract

We study an energy functional of knots, e p j ( jp > 2), that is finite valued for embedded circles and takes +∞ for circles with double points. We show that for any b ϵ R there are finitely many solid tori T 1 ,…, T m such that any knot with e p j ⩽ b can be contained in some T i in a good manner. Then we can show the existence of a minimizer of e p j in each knot type.

Published
1994

2. Family of energy functionals of knots

Author

Jun O'Hara

Subjects
Ropelength, Pure mathematics, Quantum invariant, self-distance, Mathematical analysis, Skein relation, Möbius energy, knot types, Knot energy, Mathematics::Geometric Topology, Knot (unit), Knot invariant, Energy functional, Bounded function, knot, Geometry and Topology, finiteness, distortion, Mathematics
Abstract

We define energy functionals on the space of embeddings from S1 into R 3 and show the finiteness of knot types under bounded values of those functionals.

Published
1992
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