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 notations, 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 is in the zip file, in 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. (LinKnots` 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.