Daniel Tubbenhauer on Fast, Strong Knot Invariants
My comment : These are fun talks, thanks for sharing them. One of the reasons I am interested in smooth manifolds and Lie group representations is that I think there's something interesting going on when you go up one dimension and an instance of it might be in this idea of identifying a knot from a picture taken with a phone. If instead of taking a picture you take a moving video recording as you move the point of view around the knot then you develop a kind of 2-manifold, don't you? I think of it like this because the knot itself is a 1-manifold, and as you turn it around in the embedding space its projection evolves continuously.This doesn't make sense mathematically because the point of view of the camera doesn't change anything about the knot itself which just sits there, but to me there seems to be some sense you could think of the string tracing out a continuous surface in space as it rotates, and if it rotates through 360° and the position ...
