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arXiv:1107.3908 [math.AT]AbstractReferencesReviewsResources

Finiteness of $A_n$-equivalence types of gauge groups

Mitsunobu Tsutaya

Published 2011-07-20Version 1

Let $B$ be a finite CW complex and $G$ a compact connected Lie group. We show that the number of gauge groups of principal $G$-bundles over $B$ is finite up to $A_n$-equivalence for $n<\infty$. As an example, we give a lower bound of the number of $A_n$-equivalence types of gauge groups of principal $\SU(2)$-bundles over $S^4$.

Comments: 17 pages, 10 figures
Journal: J. London Math. Soc. (2012) 85 (1): 142-164
Categories: math.AT
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