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Feb 18, 2021 at 10:42 comment added Mark Bell And the video of Marc's talk is here: video.ucdavis.edu/media/quasipolynomial-unknot/1_w3i5jvqi
Feb 3, 2021 at 5:49 comment added Ian Agol Here's a link to the slides from Marc's talk: people.maths.ox.ac.uk/lackenby/quasipolynomial-talk.pdf
Feb 3, 2021 at 1:25 history edited Sam Nead CC BY-SA 4.0
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Feb 29, 2016 at 5:44 comment added David Eppstein Two minor points to add to this: First, I assume it's $\exp(c\sqrt n)$ for some (possibly unknown) constant $c$, rather than necessarily $c=1$. And second, $\exp(c\sqrt n)$ is a typical time bound for many NP-complete problems on planar graphs (and knot diagrams are, essentially, planar graphs). So one shouldn't conclude that this subexponential time bound is low enough to make polynomial time likely — many other problems have the same bound and are still very unlikely to be polynomial.
Feb 27, 2016 at 11:33 vote accept Omri
Feb 27, 2016 at 11:33 comment added Omri Sam, thanks for the answer, it appears I had a confusion about the values of C1 and b which are given in the introduction of Bar-Natan's paper.
Feb 27, 2016 at 11:22 history answered Sam Nead CC BY-SA 3.0