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 https://arxiv.org/abs/2206.09659).