## arXiv Analytics

### arXiv:1909.04643 [math.AT]AbstractReferencesReviewsResources

#### The Homotopy Types of $SU(4)$-Gauge Groups

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 $(60,k)=(60,k')$.

Homotopy types of $SU(n)$-gauge groups over non-spin 4-manifolds
The homotopy types of $U(n)$-gauge groups over lens spaces