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Three-page approach to knot theory. Universal semigroup

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Publication:1576931
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DOI10.1007/BF02467064zbMath0958.57006MaRDI QIDQ1576931

Ivan A. Dynnikov

Publication date: 9 November 2000

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

semigroupband-linkthree-page braidthree-page linkthree-page tangle


Mathematics Subject Classification ID


Related Items (4)

Describing semigroups with defining relations of the form \(xy=yz\) and \(yx=zy\) and connections with knot theory ⋮ All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron ⋮ THREE-PAGE ENCODING AND COMPLEXITY THEORY FOR SPATIAL GRAPHS ⋮ Visual Algebraic Proofs for Unknot Detection



Cites Work

  • State models and the Jones polynomial
  • A new way to represent links. One-dimensional formalism and untangling technology
  • Generalized Jacobi matrices and deficiency indices of ordinary differential operators with polynomial coefficients
  • Three-page representation of links
  • Arc index and the Kauffman polynomial
  • An Invariant of Regular Isotopy
  • Embedding knots and links in an open book II. Bounds on arc index




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