Hello Sage mentors and fellow posters,


 My name Jason Suagee and I'm a 4th year PhD student in mathematics at 
George Washington University in Washington DC. I am primarily interested in 
working on a javascript editor for manipulating knot diagrams as part of 
the knot theory project. My background in knot theory comes mostly from 
Rolfsen's classical Knots and Links book, which was the primary textbook 
for a two semester course in knot theory that I am currently taking this 
academic year.


 In my own work I focus on symmetric combinatorial decompositions of 
3-manifolds, which is a cross between low dimensional topology and 
topological graph theory. Where this intersects with knot theory is that 
much of knot theory is actually used as a tool to describe 3-manifolds. In 
particular, one of the most useful methods to present a 3-manifold is by 
performing Dehn surgery on the components of a link in S^3. So manipulation 
of link diagrams can be a big part of what low dimensional topologists do 
on a regular basis.

 But manipulating a link diagram on paper can be a real headache, as I have 
found out this year. It would be beneficial if there was a graphical way by 
computer to do these manipulations. I have thought out a rough framework 
with which to approach this design problem and will share it in the post 
below. 


 By the way, I have been a Sage user for the past 4 years and love it! I 
was quite happy to sport a Sage sticker at the joint math meeting this year 
in Baltimore.


 Best,

Jason

[email protected]

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