Homotopy type of gauge groups of quaternionic line bundles over spheres

IF 0.5 4区数学 Q3 MATHEMATICS Topology and its Applications Pub Date : 2009-01-01 DOI:10.1016/j.topol.2008.08.016

M.H. Andrade Claudio, M. Spreafico

引用次数: 8

Abstract

Let P be a principal $S^{3}$ -bundle over a sphere $S^{n}$ , with $n ⩾ 4$ . Let $G_{P}$ be the gauge group of P. The homotopy type of $G_{P}$ when $n = 4$ was studied by A. Kono in [A. Kono, A note on the homotopy type of certain gauge groups, Proc. Roy. Soc. Edinburgh Sect. A 117 (1991) 295–297]. In this paper we extend his result and we study the homotopy type of the gauge group of these bundles for all $n ⩽ 25$ .

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

球上四元数线束规范群的同伦类型

设P是球面Sn上的一个主要的s3束，n大于或等于4。设GP为p的规范群，A. Kono在[A.]中研究了n=4时GP的同伦类型。关于某些规范群的同伦型的注记，罗氏程序。Soc。爱丁堡教派117(1991)295-297]。本文推广了这一结果，研究了这些束的规范群对所有n≤25的同伦类型。

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分钟内获得全文去求助

来源期刊

Topology and its Applications 数学-数学

CiteScore

1.20

自引率

33.30%

发文量

251

审稿时长

6 months

期刊介绍： Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology. At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.

期刊最新文献

A combination theorem for relatively acylindrical graphs of relatively hyperbolic groups On limit sets and equicontinuity in the hyperspace of continua in dimension one Characterization of right Kan convex spaces via domain theory κ-Barely independent families and Tukey types of ultrafilters Differentiable structures on a union of two open sets