Spaces of knots in exotic 4-manifolds

Name: Spaces of knots in exotic 4-manifolds
Start: 2020-02-19T16:00:00-05:00
End: 2020-02-19T18:00:00-05:00
Location: Science Center 530

SEMINARS: INFORMAL SEMINAR ON DYNAMICS, GEOMETRY AND MODULI SPACES

When: February 19, 2020

4:00 pm - 6:00 pm

Where: Science Center 530

Speaker: 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.