Mod p decompositions of gauge groups

Kishimoto, Daisuke¹ ; Kono, Akira² ; Tsutaya, Mitsunobu¹

¹Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan
²Department of Mathematical Science, Faculty of Science and Engineering, Doshisha University, Kyoto 610-0394, Japan

Algebraic and Geometric Topology, Tome 13 (2013) no. 3, pp. 1757-1778

Résumé

We give mod p decompositions of homotopy types of the gauge groups of principal bundles over spheres, which are compatible with mod p decompositions of Lie groups given by Mimura, Nishida and Toda. As an application, we also give some computations on the homotopy types of gauge groups. In particular, we show the p–local converse of the result of Sutherland on the classifications of the gauge groups of principal SU(n)–bundles.

Détail

DOI : 10.2140/agt.2013.13.1757

Classification : 57S05, 55R70, 54C35, 55P15
Keywords: gauge group, mod $p$ decomposition

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