We classify the integral homotopy types of gauge groups of principal (3)-bundles over a simply-connected Spin 4-manifold . When is non-Spin, a similar classication holds once localization is allowed.
Cite this article
Stephen Theriault, The Homotopy Types of (3)-gauge Groups over Simply Connected 4-manifolds. Publ. Res. Inst. Math. Sci. 48 (2012), no. 3, pp. 543–563