Informal Geometry & Dynamics Seminar: Spaces of knots in exotic 4-manifolds
Sander Kupers - Harvard University
Can you use the homotopy type of the space of knots in a simply-connected 4-manifold to distinguish smooth structures? The answer is no, using embedding calculus. I will also give some examples which show that embedding calculus does distinguish smooth structures in high dimensions. This is joint with Ben Knudsen.