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1993 Torus knots extremizing the Möbius energy
Denise Kim, Rob Kusner
Experiment. Math. 2(1): 1-9 (1993).


Using the principle of symmetric criticality [Palais 1979], we construct torus knots and links that extremize the Möbius-invariant energy introduced by O'Hara [1991] and Freedman, He and Wang [1993]. The critical energies are explicitly computable using the calculus of residues, a result obtained in collaboration with Gil Stengle.

Experiments with a discretized version of the Möbius energy--applicable to the study of arbitrary knots and links--are also described, and confirm the results of the analytic calculations.


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Denise Kim. Rob Kusner. "Torus knots extremizing the Möbius energy." Experiment. Math. 2 (1) 1 - 9, 1993.


Published: 1993
First available in Project Euclid: 3 September 2003

zbMATH: 0818.57007
MathSciNet: MR1246479

Primary: 58E10
Secondary: 57M25

Rights: Copyright © 1993 A K Peters, Ltd.

Vol.2 • No. 1 • 1993
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