Mod p decompositions of gauge groups

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9 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1757-1778
Number of pages22
JournalAlgebraic and Geometric Topology
Issue number3
Publication statusPublished - 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Geometry and Topology


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