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.

中文翻译：

---

$U(n)$-gauge 群在 2 球面上的分类空间的上同调

规范群是主丛自同构的拓扑群。我们通过推广自由环空间的操作来计算 2 球面上主 U(n)-丛的规范群的分类空间的积分上同调环，称为自由双悬浮。