 |
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.
|
|
For the newest resources, visit Wolfram Repositories and Archives »
