© | Dror Bar-Natan: Knot Atlas: KnotTheory`:               This page is passe. Go here instead!

Contents

• 1 Acknowledgement
• 2 Setup
• 3 Naming and Enumeration
• 4 Presentations
  • 4.1 Planar Diagrams
  • 4.2 Gauss Codes
  • 4.3 DT (Dowker-Thistlethwaite) Codes
  • 4.4 Braid Representatives
  
  
• 5 Graphical Output
  • 5.1 Drawing Planar Diagrams
  • 5.2 Drawing Braids
  
  
• 6 Structure and Operations
• 7 Invariants
  • 7.1 Invariants from Braid Theory
  • 7.2 Three Dimensional Invariants
  • 7.3 The Alexander-Conway Polynomial
  • 7.4 The Determinant and the Signature
  • 7.5 The Jones Polynomial
  • 7.6 The Coloured Jones Polynomials
  • 7.7 The A2 Invariant
  • 7.8 The HOMFLY-PT Polynomial
  • 7.9 The Kauffman Polynomial
  • 7.10 Finite Type (Vassiliev) Invariants
  • 7.11 Khovanov Homology
  
  
• 8 Extras
  • 8.1 Drawing with TubePlot
  
  
• 9 Lightly Documented Features
• 10 Further Knot Theory Software
  • 10.1 KnotPlot
  • 10.2 Knotscape
  
  
• 11 About this Manual...
• Bibliography
• Index