Stable equivalence relations of 4-manifolds

Seminar series

Topology Seminar

Date

Mon, 19 May 2025
15:30

Location

Speaker

Daniel Kasprowski

Organisation

University of Southampton

Kreck’s modified surgery gives an approach to classify 2n-manifolds up to stable diffeomorphism, i.e., up to a connected sum with copies of $S^n \times S^n$. In dimension 4, we use a combination of modified and classical surgery to compare the stable diffeomorphism classification with other stable equivalence relations. Most importantly, we consider homotopy equivalence up to connected sum with copies of $S^2 \times S^2$. This talk is based on joint work with John Nicholson and Simona Veselá.