On p-local homotopy types of gauge groups
On p-local homotopy types of gauge groups
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DOI：
10.1017/s0308210512001278
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发表时间：
2014-01
期刊：
影响因子：
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通讯作者：
D. Kishimoto;A. Kono;Mitsunobu Tsutaya
中科院分区：
文献类型：
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作者：
D. Kishimoto;A. Kono;Mitsunobu Tsutaya
证明了偶数维球面上主丛的规范群的p-局部同伦型完全由分类映射的p整除性决定，特别是对于S2D上2≤d≤p−1和n≤2p−1的主丛SU(N)-丛的规范群，我们给出了它们的p-局部同伦型的具体分类.
The aim of this paper is to show that the p-local homotopy type of the gauge group of a principal bundle over an even-dimensional sphere is completely determined by the divisibility of the classifying map by p. In particular, for gauge groups of principal SU(n)-bundles over S2d for 2 ≤ d ≤ p − 1 and n ≤ 2p − 1, we give a concrete classification of their p-local homotopy types.