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Duality properties of indicatrices of knots

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Publication:438924
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DOI10.1007/s10711-011-9652-6zbMath1264.57002arXiv1205.5248OpenAlexW2028463493MaRDI QIDQ438924

Katherine Hawkins, Rob Silversmith, Bena Tshishiku, Charmaine Sia, Colin C. Adams, Dan J. Collins

Publication date: 31 July 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5248


zbMATH Keywords

dualityspherical polygonbridge indexspherical indicatricesstick knotsstick numbersuperbridge index


Mathematics Subject Classification ID

Differentiable maps on manifolds (58C25)




Cites Work

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  • A new knot invariant
  • On singularities, ``Perestroikas and differential geometry of space curves
  • On the total curvature of knots
  • Über eine numerische Knoteninvariante
  • Polygon Indices and Superbridge Indices of Torus Knots and Links
  • KNOTS AND LINKS WITHOUT PARALLEL TANGENTS
  • A COMPUTATION OF SUPERBRIDGE INDEX OF KNOTS
  • The geometry of spherical curves and the algebra of quaternions
  • Sur la courbure totale d'une courbe gauche faisant un nœud
  • On the differential geometry of closed space curves
  • On total curvatures of closed space curves
  • The Milnor-Totaro theorem for space polygons




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