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Energies of knot diagrams

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Publication:455592
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DOI10.1134/S1061920811030046zbMath1279.57007arXiv1106.3414OpenAlexW2123790605MaRDI QIDQ455592

Oleg N. Karpenkov, A. B. Sossinskij

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3414


zbMATH Keywords

curvatureknot diagramReidemeister movesKnot energyknot energy minimum


Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (5)

Remembering Patrick Dehornoy ⋮ Normal forms of twisted wire knots ⋮ Euler elasticae in the plane and the Whitney-Graustein theorem ⋮ Normal forms of unknotted ribbons and DNA ⋮ On the normal form of knots



Cites Work

  • Mechanical normal forms of knots and flat knots
  • Energy of a knot: variational principles
  • Links of tori and the energy of incompressible flows
  • Energy of a knot
  • Family of energy functionals of knots
  • Energy functionals of knots. II
  • Möbius energy of knots and unknots
  • Möbius energy of graphs
  • Torus Knots Extremizing the Möbius Energy
  • Möbius invariance of knot energy
  • The degree of knottedness of tangled vortex lines


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