Finiteness of A n-equivalence types of gauge groups

Mitsunobu Tsutaya

doi:10.1112/jlms/jdr040

Finiteness of A _n-equivalence types of gauge groups

Mitsunobu Tsutaya

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

7 被引用数 (Scopus)

抄録

Let B be a finite CW complex and G be a compact connected Lie group. We show that the number of gauge groups of principal G-bundles over B is finite up to A _n-equivalence for n < ∞. As an example, we give a lower bound of the number of A _n-equivalence types of gauge groups of principal SU(2)-bundles overS ⁴.

本文言語	英語
ページ（範囲）	142-164
ページ数	23
ジャーナル	Journal of the London Mathematical Society
巻	85
号	1
DOI	https://doi.org/10.1112/jlms/jdr040
出版ステータス	出版済み - 2月 2012
外部発表	はい

!!!All Science Journal Classification (ASJC) codes

数学一般

文献へのアクセス

10.1112/jlms/jdr040

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引用スタイル

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