On p-local homotopy types of gauge groups

Daisuke Kishimoto; Akira Kono; Mitsunobu Tsutaya

doi:10.1017/S0308210512001278

On p-local homotopy types of gauge groups

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

抄録

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 S ^2d for 2 ≤ d ≤ p - 1 and n ≤ 2p - 1, we give a concrete classification of their p-local homotopy types.

本文言語	英語
ページ（範囲）	149-160
ページ数	12
ジャーナル	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
巻	144
号	1
DOI	https://doi.org/10.1017/S0308210512001278
出版ステータス	出版済み - 2月 2014
外部発表	はい

!!!All Science Journal Classification (ASJC) codes

数学一般

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10.1017/S0308210512001278

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AB - 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 S 2d for 2 ≤ d ≤ p - 1 and n ≤ 2p - 1, we give a concrete classification of their p-local homotopy types.

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On p-local homotopy types of gauge groups

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!!!All Science Journal Classification (ASJC) codes

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