The Mathematica Package KnotTheory`
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This manual describes the Mathematica package KnotTheory`, the main tool used to produce The Knot Atlas.
The Mathematica Package KnotTheory`
- Acknowledgement
- Setup
- Naming and Enumeration
- Presentations
- Graphical Input
- Graphical Output
- 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
- The Coloured Jones Polynomials
- The A2 Invariant
- Quantum knot invariants
- The HOMFLY-PT Polynomial
- The Kauffman Polynomial
- Finite Type (Vassiliev) Invariants
- Khovanov Homology
- R-Matrix Invariants
- Extras Included with KnotTheory`
- Lightly Documented Features
- A Sample KnotTheory` Session
- Further Knot Theory Software
- Extending/Modifying
KnotTheory`
- List of Modules in
KnotTheory`
- How to Edit this Manual...
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