Stable equivalence relations of 4-manifolds

Daniel Kasprowski (University of Southampton)

Monday 17th April, 2023 16:00-17:00 Maths 311B

Abstract

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 Sⁿ x Sⁿ. 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 stable homotopy equivalence. This is joint work with Johnny Nicholson and Simona Veselá.

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