Informal Geometry & Dynamics Seminar: Spaces of knots in exotic 4-manifolds


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February 19, 2020 4:00 pm - 6:00 pm
Science Center 530

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.