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Surfaces in four-manifolds


Speaker: Andras Stipsicz, Renyi Institute
Location: 2112 MSB
Start time: Thu, Sep 29 2022, 2:10PM

The genus function (associating the minimal genus representative to a homology class) of a closed four-manifold can measure exotic behaviour in four-dimensional topology. We know this function only in a handful of cases; in the lecture I will describe some of these. The notion extends to four-manifolds with boundary by considering slice surfaces for knots in the boundary; the examination of that function leads us to a result concerning our chances of finding exotic four-spheres.