| Abstract: |
| I will report on advances in the regularity theory for minimizers and
critical points of a class of knot energies defined by Jun O`Hara.
When parametrized by arclength the tangent field of these knots are
critical points of a W^{1/p,p}-type energy, and we employ arguments
from the regularity theory of W^{1/p,p}-harmonic maps into the sphere. |
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