Corks for exotic diffeomorphisms

Abstract: In dimension four, there exist manifolds which are h-cobordant but not diffeomorphic. Using these cobordisms, it is known that exotic smooth structures on simply connected 4-manifolds can be localized to certain contractible submanifolds called corks. In this talk, I will discuss an analogous localization result for exotic diffeomorphisms. This is based on joint work with Slava Krushkal, Anubhav Mukherjee, and Mark Powell.