Acknowledgement

{{{{{Printable Manual}}}|{| cellpadding="0" cellspacing="0" width=240 style="clear: right; float: right" |- align=left

|

KnotTheory`/Navigation 

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
  • Arc 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
  • Heegaard Floer Knot 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 Usage Example
  • Prime Links with a Non-Prime Component
  • "Rubberband" Brunnian Links
  • Identifying Knots within a List
  • Cabling
  • Burau's Theorem
• Further Knot Theory Software
  • KnotPlot
  • Knotscape
  • Xknots
• Extending/Modifying KnotTheory`
• Bugs
• How to Edit this Manual...

|}||}}

This Atlas is partially (and indirectly) supported by NSERC grant RGPIN 262178. As a Wiki project, it doesn't make sense anymore to acknowledge individual contributors. Yet for historical purposes, here's our acknowledgement as of the conversion to Wiki formnat on August 2005:

• Jana Archibald, for writing the program Alexander[K, r].
• Sergei Chmutov, for spotting a typo.
• David De Wit, for a bug report.
• Ralph Furmaniak, for help with our link to Knotilus (see Gauss Codes).
• Stavros Garoufalidis, for jointly writing the program ColouredJones (see The Coloured Jones Polynomials).
• Thomas Gittings, for the minimum braid representatives for the knots with up to 10 crossings (see Braid Representatives).
• Jeremy Green, for his java implementation of Kh (see Khovanov Homology).
• Thang Le, for supplying some of the formulas used in the program ColouredJones (see The Coloured Jones Polynomials).
• Rick Litherland, for spotting a sneaky bug in the program KnotSignature.
• Charles Livingston, for allowing us to bundle data from his Table of Knot Invariants.
• Scott Morrison, for a bug report and for writing the programs to compute the HOMFLY-PT and Kauffman polynomials (see The HOMFLY-PT Polynomial and The Kauffman Polynomial).
• Bertrand Patureau-Mirand, for informing us of some mismatches in the link tables (now corrected).
• Jozef Przytycki, for correcting a typo.
• Stuart Rankin, for help with our link to Knotilus (see Gauss Codes).
• Emily Redelmeier, for writing the program DrawPD (see Drawing Planar Diagrams).
• Siddarth Sankaran, for writing the conversion program between Gauss codes and PD codes and for writing MorseLink and DrawMorseLink.
• Alexander Shumakovitch, for his help with signature computations (see The Determinant and the Signature).
• Alexander Stoimenow, for the knot presentations for the knots in the Rolfsen table and some further remarks.
• Z-X. Tao, for noticing problems with the knots 10_83 and 10_86.
• Morwen Thistlethwaite, for the pictures of links and of 11 crossing knots.
• Dylan Thurston, for writing an early routine to translate from Hoste-Thistlethwaite's DT codes to my ``PD Presentations.