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The Mathematica Package KnotTheory`

  • Acknowledgement
  • Setup
  • Naming and Enumeration
  • Presentations
    • Planar Diagrams
      • Some further details
    • Gauss Codes
    • DT (Dowker-Thistlethwaite) Codes
    • Braid Representatives
    • MorseLink Presentations
    • Conway Notation
  • Graphical Input
  • Graphical Output
    • Drawing Planar Diagrams
      • How does it work?
    • Drawing MorseLink Presentations
    • Drawing Braids
  • Structure and Operations
  • Invariants
    • Invariants from Braid Theory
    • Three Dimensional Invariants
    • The Alexander-Conway Polynomial
    • The Multivariable Alexander Polynomial
    • The Determinant and the Signature
    • The Jones Polynomial
      • How is the Jones polynomial computed?
    • The Coloured Jones Polynomials
    • The A2 Invariant
    • Quantum knot invariants
    • The HOMFLY-PT Polynomial
    • The Kauffman Polynomial
    • Finite Type (Vassiliev) Invariants
    • Khovanov Homology
    • R-Matrix Invariants
  • Extras Included with KnotTheory`
    • Drawing with TubePlot
      • Standalone_TubePlot
    • Using the LinKnot package
    • WikiLink
    • QuantumGroups`
  • Lightly Documented Features
  • A Sample KnotTheory` Session
  • Further Knot Theory Software
    • KnotPlot
    • Knotscape
  • Extending/Modifying KnotTheory`
  • List of Modules in KnotTheory`
  • How to Edit this Manual...
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