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Corks for exotic diffeomorphisms

Geometry/Topology

Speaker: Terrin Warren, Cal Poly
Related Webpage: https://sites.google.com/view/terrinwarren/home
Location: 2112 MSB
Start time: Tue, Mar 4 2025, 2:10PM

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.