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arXiv:1908.04448 [math.AT]AbstractReferencesReviewsResources

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

Masahiro Takeda

Published 2019-08-13Version 1

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.

Comments: 8 pages
Categories: math.AT
Subjects: 55R40
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