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Cossa xe...the Poincaré homology 3-sphere?

Lorenzo Sillari
Friday, January 22, 2021 - 11:00 to 12:00

Homology Spheres are manfolds that showed up in the early study of Algebraic Topology. They posses the homology groups of a sphere, but they are not homeomorphic to it. The first example was found by Poincaré himself in 1904. In the seminar, we will talk about constructions of homology spheres in dimension 3, giving some examples, and classifying such manifolds according to their fundamental group. We shall then focus on the Poincarè Homology 3-Sphere, building it in two different ways, and computing its fundamental group.

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