The homotopy types of PSp(n)-gauge groups over S~(2m)

摘要

Let G(k) (PSp(2)) and G(k) (PSp(3)) be the gauge groups of principal PSp(2)-bundles over S-8 and principal PSp(3)-bundles over S-4 classified by k epsilon(1)' and k epsilon(2)', where epsilon(1)' and epsilon(2)' are generators of pi(8) (BPSp(2)) similar or equal to Z and pi(4) (BPSp(3)) similar or equal to Z, respectively. In this article we partially classify the homotopy types for these gauge groups. (C) 2021 Elsevier B.V. All rights reserved.