On p-local homotopy types of gauge groups

Daisuke Kishimoto, Akira Kono, Mitsunobu Tsutaya

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)149-160
Number of pages12
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume144
Issue number1
DOIs
Publication statusPublished - Feb 1 2014
Externally publishedYes

Fingerprint

Homotopy Type
Gauge Group
Principal Bundle
Divisibility
Bundle

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

On p-local homotopy types of gauge groups. / Kishimoto, Daisuke; Kono, Akira; Tsutaya, Mitsunobu.

In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 144, No. 1, 01.02.2014, p. 149-160.

Research output: Contribution to journalArticle

@article{9ab25748946a464fb55b47a3febd7891,
title = "On p-local homotopy types of gauge groups",
abstract = "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.",
author = "Daisuke Kishimoto and Akira Kono and Mitsunobu Tsutaya",
year = "2014",
month = "2",
day = "1",
doi = "10.1017/S0308210512001278",
language = "English",
volume = "144",
pages = "149--160",
journal = "Proceedings of the Royal Society of Edinburgh Section A: Mathematics",
issn = "0308-2105",
publisher = "Cambridge University Press",
number = "1",

}

TY - JOUR

T1 - On p-local homotopy types of gauge groups

AU - Kishimoto, Daisuke

AU - Kono, Akira

AU - Tsutaya, Mitsunobu

PY - 2014/2/1

Y1 - 2014/2/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84893441858&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893441858&partnerID=8YFLogxK

U2 - 10.1017/S0308210512001278

DO - 10.1017/S0308210512001278

M3 - Article

AN - SCOPUS:84893441858

VL - 144

SP - 149

EP - 160

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

SN - 0308-2105

IS - 1

ER -