Exotic 4-Manifold Constructions via Pencils of Curves of Small Genus and Surgeries

Abstract: Exotic manifolds are smooth manifolds which are homeomorphic but not diffeomorphic to each other. Constructing exotic manifolds in dimension four has been an active research area in low dimensional and symplectic topology over the last 30 years. In this talk, we will first discuss major open problems and some recent progress in 4-manifolds theory. Then we will discuss our constructions of exotic 4-manifolds via pencils of complex curves of small genus and via symplectic and smooth surgeries. Some of our results that will be presented are joint with A. Akhmedov.

algebraic topologycategory theorygroup theoryK-theory and homology

Audience: researchers in the topic

( video )

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Cihan Okay

Series comments: Contact the organizer to get access to Zoom.

Recordings of talks available at www.youtube.com/channel/UCLrmyGpqxyeVpTcA1b5HcMw/videos

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