Abstract
Let $\mathcal{G}_{k}$ be the gauge group of the principal $\mathit{SU}(5)$-bundle over $S^{4}$ with second Chern class $k$. We show that there is a $p$-local homotopy equivalence $\mathcal{G}_{k} \simeq \mathcal{G}_{k'}$ for any prime $p$ if and only if $(120,k) = (120,k')$.
Citation
Stephen Theriault. "The homotopy types of $\mathit{SU}(5)$-gauge groups." Osaka J. Math. 52 (1) 15 - 31, January 2015.
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