On the homotopy types of Sp(n) gauge groups

Kishimoto, Daisuke; Kono, Akira

doi:10.2140/agt.2019.19.491

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

On the homotopy types of $\mathrm{Sp}(n)$ gauge groups

Daisuke Kishimoto and Akira Kono

Algebraic & Geometric Topology 19 (2019) 491–502

DOI: 10.2140/agt.2019.19.491

Abstract

Let $G_{k, n}$ be the gauge group of the principal $Sp (n)$ –bundle over $S^{4}$ corresponding to $k \in ℤ ≅ π_{3} (Sp (n))$ . We refine the result of Sutherland on the homotopy types of $G_{k, n}$ and relate it to the order of a certain Samelson product in $Sp (n)$ . Then we classify the $p$ –local homotopy types of $G_{k, n}$ for ${(p - 1)}^{2} + 1 \geq 2 n$ .

Keywords

gauge group, homotopy type, unstable K–theory

Mathematical Subject Classification 2010

Primary: 54C35, 55P15

References

Publication

Received: 26 April 2018

Revised: 9 July 2018

Accepted: 3 September 2018

Published: 6 February 2019

Authors

Daisuke Kishimoto
Department of Mathematics Kyoto University Kyoto Japan

Akira Kono
Faculty of Science and Engineering Doshisha University Kyoto Japan

Volume 19, issue 1 (2019)