How to Edit this Manual...

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 Basic Rules

Knot Atlas manual pages are editable and are edited by both humans and robots (dedicated computer programs). Both sides have to be careful not to step into each other's territory. Under the current treaties, robots are responsible for simulated Mathematica output and for certain numerical values that are computed by KnotTheory`. Their territory always lies between <!--$ and <!--END--> tags. Humans are responsible for everything else, including brief ventures into the robot's territories to tell the robots what to do.

Human Edits

To perform a human edit, simply click on the "edit" link at the top of every manual page (or indeed, at the top of almost every other wiki page) and begin editing, saving your work at the end. Be careful not to modify anything in the robots' territory, delimited by <!--$ and <!--END--> tags.

What Robots Do

Before a human can tell a robot what to do, (s)he must understand the simple way in which robots work. Robots do just one simple thing, and only when instructed to it. Here's how they work:

1. They search the text of a manual page for patterns of the form <!--$robot instructions$-->old robotic response<!--END-->.
2. They study the robot instructions and compute something. printing the output, i.e. the new robotic response in place of the old robotic response. Just to be sure that humans don't modify the new robotic response, robots precede it with a short human do not enter phrase. Dror's robot's favourite is .