Cohomology of the moduli space of SO(n)-instantons with instanton number 1

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• 作者：Kamiyama ; Yasuhiko ; Kono ; Akira ; Tezuka ; Michishige
• 关键词：57T15 ; Instantons ; Homogeneous space ; Cohomology
• 刊名：Topology and its Applications
• 出版年：2005
• 出版时间：January 1, 2005
• 年：2005
• 卷：146-147
• 期：Complete
• 页码：471-487
• 全文大小：167 K

文摘

Let M(1,SO(n)) denote the moduli space of based gauge equivalence classes of SO(n)-instantons over S⁴ with instanton number 1. In this paper, using a description of M(1,SO(n)) in terms of a homogeneous space, we determine the mod 2 cohomology ring with squaring operations and the integral cohomology group of M(1,SO(n)).