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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…
math.DG2019★ 4 cited
Decomposition of generalized O'Hara's energies
Aya Ishizeki, Takeyuki Nagasawa
O'Hara introduced several functionals as knot energies. One of them is the Möbius energy. We know its Möbius invariance from Doyle-Schramm's cosine formula. It is also known that t…