arXiv: Algebraic Topology | 2019
Cohomology of the classifying spaces of $U(n)$-gauge groups over the 2-sphere
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.