Tyrone Cutler, Stephen Theriault
Published 2019-09-10Version 1
Let $\mathcal{G}_k$ be the gauge group of the principal $SU(4)$-bundle over $S^4$ with second Chern class $k$ and let $p$ be a prime. We show that there is a rational or $p$-local homotopy equivalence $\Omega\mathcal{G}_k\simeq\Omega\mathcal{G}_{k'}$ if and only if $(60,k)=(60,k')$.
The homotopy types of $Sp(n)$-gauge groups over $S^{4m}$
Homotopy types of $SU(n)$-gauge groups over non-spin 4-manifolds
Homotopy types of $\mathrm{Spin}^c(n)$-gauge groups over $S^4$
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