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math.AP2019★ 1 cited
On O'hara knot energies I: Regularity for critical knots
Simon Blatt, Philipp Reiter, Armin Schikorra
We develop a regularity theory for extremal knots of scale invariant knot energies defined by J. O'hara in 1991. This class contains as a special case the Möbius energy. For the Mö…
math.DG2019★ 2 cited
A Möbius invariant discretization and decomposition of the Möbius energy
Simon Blatt, Aya Ishizeki, Takeyuki Nagasawa
The Möbius energy, defined by O'Hara, is one of the knot energies, and named after the Möbius invariant property which was shown by Freedman-He-Wang. The energy can be decomposed i…