Möbius invariant energies and average linking with circles

DOI10.2748/tmj/1429549579zbMath1432.53014arXiv1010.3764OpenAlexW1972752884MaRDI QIDQ2346200

Gil Solanes, Jun O'Hara

Publication date: 29 May 2015

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3764

zbMATH Keywords

symplectic formrenormalizationintegral geometryknot energiesMöbius geometry

Mathematics Subject Classification ID

Integral geometry (53C65) Differential geometry of submanifolds of Möbius space (53A31)

Related Items (6)

Möbius invariants of shapes and images ⋮ Residues of manifolds ⋮ Renormalization of potentials and generalized centers ⋮ Möbius invariant metrics on the space of knots ⋮ Upper and lower bounds and modulus of continuity of decomposed Möbius energies ⋮ Regularization of Neumann and Weber formulae for inductance

Cites Work

• Unnamed Item
• Unnamed Item
• Renormalization of potentials and generalized centers
• Energy of a knot
• Renormalized area and properly embedded minimal surfaces in hyperbolic 3-manifolds
• Total curvature of complete surfaces in hyperbolic space
• Rigid curves at random positions and linking numbers
• Thickness and crossing number of knots
• Möbius energy of knots and unknots
• Dual mixed volumes
• A generalization of the isoperimetric inequality
• CONFORMALLY INVARIANT ENERGIES OF KNOTS
• Singular surfaces, mod 2 homology, and hyperbolic volume, I
• The behaviour of the total twist and self-linking number of a closed space curve under inversions.
• Some Integral Formulas for Space Curves and Their Generalization

This page was built for publication: Möbius invariant energies and average linking with circles