First of all, I apologize if this isn't the right place to ask this. I 
spent ages looking for links on the sage website, and this seemed like the 
most relevant.

I spent this summer doing an undergraduate research project on 2-knots, 
based primarily off of the work from https://arxiv.org/abs/1507.08370. In 
particular, we have a way to represent 2-knots as a triplet of braid words, 
and we're able to calculate the Alexander Invariant (an ideal over the ring 
of Laurent polynomials) for an arbitrary 2-knot with this representation.

Would this be something worth fleshing out to add to sage? I looked through 
the developer's guide, and it looked like there were a lot of steps to do 
everything properly. I just want to make sure this would be fruitful work 
before I get started downloading and compiling from source.

If not the full implementation, there are some smaller parts that I think 
could be useful to have in sage. In particular, an alternative closure of a 
braid on 2n strands. Instead of joining the top and bottom of each strand, 
we join together the top and bottom of adjacent strands, like in this 
crudely made diagram.

[image: knot.png]

I would appreciate any feedback!

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