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arXiv · 1908.04448

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

Masahiro Takeda
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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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Masahiro Takeda. 2019-08-13. Cohomology of the classifying spaces of $U(n)$-gauge groups over the 2-sphere. https://arxiv.org/abs/1908.04448

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