A cooking class on exotic surfaces in 4-manifolds – Oliviero Malech (SISSA)


Aula Magna - Dipartimento di Matematica


Two smoothly embedded surfaces in the same smooth 4-manifold are called exotic if they are C^0 ambient isotopic without being smoothly equivalent. In the talk, I will briefly introduce this peculiar phenomenon and show how it is possible to construct an infinite family of 2-knots (embedded spheres) and 2-links in a smooth 4-manifold that are pairwise exotic. Furthermore we will explore some of the properties of the constructed exotic families.

The talk is based on a joint work with Bais, Benyahia and Torres (see

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