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Cohomology of the classifying spaces of $U(n)$-gauge groups over the 2-sphere

Published 13 Aug 2019 in math.AT | (1908.04448v1)

Abstract: A gauge group is the topological group of automorphisms of a principal bundle. We compute the integral cohomology ring of the classifying spaces of gauge groups of principal U(n)-bundles over the 2-sphere by generalizing the operation for free loop spaces, called the free double suspension.

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