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On torus knots and unknots

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Publication:2809233
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DOI10.1142/S021821651650036XzbMath1341.57005OpenAlexW2335622087MaRDI QIDQ2809233

Chiara Oberti, Renzo L. Ricca

Publication date: 27 May 2016

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021821651650036x


zbMATH Keywords

torsioncurvaturelinking numbertorus knotswritheparametric equations


Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25)


Related Items

Creation of quantum knots and links driven by minimal surfaces ⋮ Total normalcy of knots ⋮ Topological transition and helicity conversion of vortex knots and links ⋮ Exact hopfion vortices in a 3D Heisenberg ferromagnet ⋮ Induction effects of torus knots and unknots ⋮ The total curvature of knots under second-order infinitesimal bending



Cites Work

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  • Helicity and the Călugăreanu invariant
  • Torus Knots Extremizing the Möbius Energy
  • Torus knots and polynomial invariants for a class of soliton equations
  • FORMULAE FOR THE CALCULATION AND ESTIMATION OF WRITHE
  • Inflexional disequilibrium of magnetic flux-tubes
  • Sur la courbure totale d'une courbe gauche faisant un nœud
  • On total curvatures of closed space curves
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