Speaker: Andreas Stavrou

Title: Superposition of configurations 

Abstract: It is known that “scanning” provides an isomorphism between the cohomologies of all configuration spaces of a manifold and the cohomology of the section space of a certain bundle over the manifold. Of course, under this isomorphism, the cup product of the section space naturally gives a product on the cohomologies of configuration spaces. Surprisingly, this product also arises independently from the scanning isomorphism via “superposition of configurations”. In this talk, we will define the “superposition product” and sketch the proof that under the scanning isomorphism it corresponds to the cup product of the section space. 

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