THE HOMOTOPY TYPES OF SU(5)-GAUGE GROUPS

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2019-09-10 DOI:10.18910/57660

Tyrone Cutler, S. Theriault

引用次数: 26

Abstract

Let $\mathcal{G}_k$ be the gauge group of the principal $SU(4)$-bundle over $S^4$ with second Chern class $k$ and let $p$ be a prime. We show that there is a rational or $p$-local homotopy equivalence $\Omega\mathcal{G}_k\simeq\Omega\mathcal{G}_{k'}$ if and only if $(60,k)=(60,k')$.

查看原文本刊更多论文

su(5)-规范群的同伦类型

让$\mathcal{G}_k$是$S^4$与第二Chern类$k$上的主$SU（4）$-丛的测度群，并设$p$是素数。我们证明了存在一个有理或$p$-局部同伦论等价$\Omega\mathcal{G}_k\simeq\Omega\mathcal{G}_{k'}$当且仅当$（60，k）=（60，k'）$。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.