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Homotopy types of gauge groups over non-simplyconnected closed 4-manifolds

Homotopy types of gauge groups over non-simplyconnected closed 4-manifolds
Homotopy types of gauge groups over non-simplyconnected closed 4-manifolds

Let G be a simple, simply connected, compact Lie group, and let M be an orientable, smooth, connected, closed 4-manifold. In this paper, we calculate the homotopy type of the suspension of M and the homotopy types of the gauge groups of principal G-bundles over M when π1(M) is (1) ℤ*m, (2) ℤ/prℤ, or (3) ℤ*m*(*n j=1ℤ/prj jℤ), where p and the pj's are odd primes.

0017-0895
1-23
So, Tseleung
175505d4-3a13-4bb3-8f99-f24502cfcc2d
So, Tseleung
175505d4-3a13-4bb3-8f99-f24502cfcc2d

So, Tseleung (2018) Homotopy types of gauge groups over non-simplyconnected closed 4-manifolds. Glasgow Mathematical Journal, 1-23. (doi:10.1017/S0017089518000241).

Record type: Article

Abstract

Let G be a simple, simply connected, compact Lie group, and let M be an orientable, smooth, connected, closed 4-manifold. In this paper, we calculate the homotopy type of the suspension of M and the homotopy types of the gauge groups of principal G-bundles over M when π1(M) is (1) ℤ*m, (2) ℤ/prℤ, or (3) ℤ*m*(*n j=1ℤ/prj jℤ), where p and the pj's are odd primes.

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Accepted/In Press date: 4 May 2018
e-pub ahead of print date: 20 June 2018

Identifiers

Local EPrints ID: 422837
URI: https://eprints.soton.ac.uk/id/eprint/422837
ISSN: 0017-0895
PURE UUID: ef0c88a4-5741-4799-ad3b-9750b8631002

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Date deposited: 06 Aug 2018 16:30
Last modified: 20 Jul 2019 04:11

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