Using the LinKnot package

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...

The Mathematica package LinKnot is a combination of two packages. The first, Knot2000 was written by M.Ochiai and N.Imafuji. This was extended to the package LinKnot by S. Jablan and R. Sazdanovic. The package LinKnot provides many useful things KnotTheory can't do natively; for example, it can interpret Conway notation, and, at least on Windows machines, provides nice graphics for knots, and a graphical interface for drawing knots by hand.

To use LinKnot with KnotTheory, you should download LinKnot.zip from the LinKnot site (a full LinKnot manual page ManualK2KC.nb is in the zip file, and the main file is the mathematica notebook K2KL.nb). After downloading the file LinKnot.zip:

1) extract it in the Mathematica directory

C:\ProgramFiles\WolframResearch\Mathematica\5.2

It will automatically create new folder LinKnot

2) from any nb-file run:

SetDirectory["LinKnot"];

<<LinKnots`

Then you can work with the both programs KnotTheory and LinKnot.

If you like to have the complete program LinKnot visible (with the usage, description of all LinKnot functions, etc.) and run the both programs KnotTheory and LinKnot, you can open the file K2KL.nb from the directory

C://ProgramFiles/WolframResearch/Mathematica/5.2/LinKnot

and run

SetDirectory["LinKnot"];

<<LinKnots`

The directory LinKnot contains Knot Theory package, that we will try to keep updated. However, if you have in your computer the more recent version of Knot Theory, you can run:

SetDirectory["LinKnot"];

<<LinKnots`

AppendTo[$Path, \\Path to KnotTheory];

Get["Path to Knot Theory\\init.m"]

of just update the version of KnotTheory already existing in the directory LinKnot by extracting the file most recent file KnotTheory.zip into the directory LinKnot.

Finally, LinKnot and Knot Theory can be placed anywhere you like, but in this case you need to set the paths by:

SetDirectory["Path to LinKnot"];

<<LinKnots`

AppendTo[$Path,"Path to Knot Theory"];

Get["Path to KnotTheory\\KnotTheory\\init.m"]

After you've done this, everything should just work. If everything doesn't just work, please complain to Scott or Slavik Jablan (jablans@yahoo.com).

See also Extending/Modifying KnotTheory`#Lessons learnt from integrating LinKnot` for technical details on how LinKnot` and KnotTheory` were integrated.