I think that more math of almost any sort would be great to add to Sage. Improving the knot and link capabilities would be great!
John On Monday, August 2, 2021 at 12:59:13 PM UTC-7 Calvin Godfrey wrote: > 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! > -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-devel/6a26b675-4dad-4cd6-ba38-a413f84200ean%40googlegroups.com.
