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. This package 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 [1] (a full LinKnot manual page ManualK2KC.nb is in the zip file, in the main file is the mathematica notebook K2KL.nb). Install this wherever you like, and in your Mathematica session issue a command like

(For In[1] see Setup)

In[2]:=

AppendTo[$Path, "/path/to/LinKnots.m"];

After you've done this, everything should just work. (LinKnot will only be loaded when necessary, and there might be a short delay when this happens.) If everything doesn't just work, please complain to Scott.

You may find it helpful to explicitly set the path in which you've installed LinKnot (although KnotTheory tries to do this itself). Simply set LinKnotDirectory[].

In[3]:= ?LinKnotDirectory LinKnotDirectory[] contains the path to the ''LinKnot'' package. It must be set correctly in order for all the (Windows only) MathLink components of ''LinKnot'' to be usable. It can be overriden by the user.

If you have any problem with running LinKnot (as a separate program) please do the following:

1) in your Mathematica directory (e.g., C:\Program Files\Wolfram Research\Mathematica\5.0) make a new folder named LinKnot; 2) extract the contents of the file LinKnot.zip into the directory LinKnot; 3) open the "Mathematica" notebook K2KL.nb that you will find in the directory LinKnot; 4) run the first line:

SetDirectory["LinKnot"]

<< LinKnots.m

Then you can fix the appropriate path and work with KnotTheory and LinKnot as well.