On Wed, Jan 29, 2014 at 4:32 PM, Amit <[email protected]> wrote:
> Hello,
>        I would like to discuss the implementation of Braid Groups. This

Are you planning on going beyond what is already known?
http://www.math.uiuc.edu/~nmd/snappea/
If so, what is your plan?

> would involve the implementation of various invariants related to Braids
> like the Alexander's polynomial
> (http://mathworld.wolfram.com/AlexanderPolynomial.html) by building up the
> Burau representation of the same
> (http://mathworld.wolfram.com/BurauRepresentation.html) [There are more
> accurate versions of Braid Group representation] and various other
> properties relating to permutation group underlying Braids. However I could
> not think of any idea which would implement the other invariants like the
> Kauffman's invariant for knots (I wonder whether such kind of implementation
> can be worked around atleast for knots with less number of crossings). I was
> also looking through the implementation of Braid Diagrams by various means
> one attempt was by using TikZ. Braid Diagrams can be converted into link
> diagrams as every link can be represented as closed Braid. The main
> motivation behind everything is to implement certain features in Knot Theory
> module of Mathematica
> (http://katlas.math.toronto.edu/wiki/The_Mathematica_Package_KnotTheory%60)
> in Sympy. Thanks.
>
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