A Polynomial Invariant of Oriented Links

  title={A Polynomial Invariant of Oriented Links},
  author={S Kenneth and Christopher J. Millett},
THE THEORY of classical knots and links of simple closed curves in the 3-dimensional sphere has, for very many years, occupied a pre-eminent position in the theory of low dimensional manifolds. It has been a motivation, an inspiration and a basis for copious examples. Knots have, in theory, been classified by Haken [lo] but the classification is by means of an algorithm that is too complex to use in practice. Thus one is led to seek simple invariants for knots which will distinguish large… CONTINUE READING
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BIRMAN : On the Jones polynomial of closed 3braids

  • C. L.
  • Incenriones Xfathemaricae
  • 1985

JONES : A polynomial invariant for knots via von Neumann algebras

  • R. V.F.
  • Bull . A . M . S .
  • 1985

LICKORISH : Prime knots and tangles

  • R. W.B.
  • Trans . Am . Mach . Sot .
  • 1981

MEHTA : Sequence of invariants for knots and links

  • S. J.
  • J . Physique
  • 1981

The Conway polynomial

  • Topology
  • 1981

BIRMAN : Braids . links and mapping class groups

  • S. J.
  • Ann . Math . Sfud .
  • 1974

An enumeration of knots and links

  • J. H. CONWAY
  • Computational Problems in Abstracr Algebra
  • 1969

RUBINSTEIS : Involutions and isotopies of lens spaces , In Knot Theory and Manifblds ( Edited by D . Rolfsen ) Lecture Notes in Math

  • H.
  • Marh . Zeif
  • 1962

Knot tabulations and related topics

  • S. L.M.
  • Aspecrs ojTopology

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