Kishimoto, Daisuke and Theriault, Stephen (2022) The mod-p homology of the classifying spaces of certain gauge groups. Proceedings of the Royal Society of Edinburgh. (doi:10.1017/prm.2022.61).
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Abstract
Let G be a compact connected simple Lie group of type (n_1,...,n_l), where n_1 < · · · < n_l. Let G_k be the gauge group of the principal G-bundle over S^4 corresponding to k ∈ π_3(G) = Z. We calculate the mod-p homology of the classifying space BG_k provided that n_l <p−1.
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Accepted/In Press date: 22 August 2022
e-pub ahead of print date: 19 September 2022
Published date: 19 September 2022
Keywords:
gauge group, classifying space, homology
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Local EPrints ID: 470444
URI: http://eprints.soton.ac.uk/id/eprint/470444
PURE UUID: 0297967c-676f-44d3-868f-dd6efc85ee32
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Date deposited: 11 Oct 2022 16:33
Last modified: 06 Jun 2024 04:15
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Author:
Daisuke Kishimoto
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