Three Dimensional Invariants
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KnotTheory`
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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
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