Homotopy decompositions of gauge groups over real surfaces
Homotopy decompositions of gauge groups over real surfaces
We study the homotopy types of gauge groups of principal U(n)-bundles associated to pseudo Real vector bundles in the sense of Atiyah [Ati66]. We provide satisfactory homotopy decompositions of these gauge groups into factors in which th homotopy groups are well known. Therefore, we substantially build upon the low dimensional homotopy groups as provided in [BHH10].
West, Michael
1456a6a0-b659-4449-8f35-175e09b99d7e
July 2016
West, Michael
1456a6a0-b659-4449-8f35-175e09b99d7e
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
West, Michael
(2016)
Homotopy decompositions of gauge groups over real surfaces.
University of Southampton, School of Mathematics, Doctoral Thesis, 131pp.
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Thesis
(Doctoral)
Abstract
We study the homotopy types of gauge groups of principal U(n)-bundles associated to pseudo Real vector bundles in the sense of Atiyah [Ati66]. We provide satisfactory homotopy decompositions of these gauge groups into factors in which th homotopy groups are well known. Therefore, we substantially build upon the low dimensional homotopy groups as provided in [BHH10].
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Thesis final - Michael West.pdf
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Published date: July 2016
Organisations:
University of Southampton, Mathematical Sciences
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Local EPrints ID: 401543
URI: http://eprints.soton.ac.uk/id/eprint/401543
PURE UUID: d88d47da-98d3-40ff-98a0-236a16defd00
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Date deposited: 27 Oct 2016 13:17
Last modified: 15 Mar 2024 03:45
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Michael West
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