The Homotopy Types of $SU$(3)-gauge Groups over Simply Connected 4-manifolds

Stephen Theriault

doi:10.2977/prims/80

JournalsprimsVol. 48, No. 3pp. 543–563

The Homotopy Types of $S U$ (3)-gauge Groups over Simply Connected 4-manifolds

Stephen Theriault
University of Aberdeen, UK

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Abstract

We classify the integral homotopy types of gauge groups of principal $S U$ (3)-bundles over a simply-connected Spin 4-manifold $M$ . When $M$ is non-Spin, a similar classiffication holds once localization is allowed.

Cite this article

Stephen Theriault, The Homotopy Types of $S U$ (3)-gauge Groups over Simply Connected 4-manifolds. Publ. Res. Inst. Math. Sci. 48 (2012), no. 3, pp. 543–563

DOI 10.2977/PRIMS/80