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Homotopy decompositions of gauge groups over real surfaces

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
West, Michael
1456a6a0-b659-4449-8f35-175e09b99d7e
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80

(2016) Homotopy decompositions of gauge groups over real surfaces. University of Southampton, School of Mathematics, Doctoral Thesis, 131pp.

Record type: 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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Published date: July 2016
Organisations: University of Southampton, Mathematical Sciences

Identifiers

Local EPrints ID: 401543
URI: http://eprints.soton.ac.uk/id/eprint/401543
PURE UUID: d88d47da-98d3-40ff-98a0-236a16defd00
ORCID for Stephen Theriault: ORCID iD orcid.org/0000-0002-7729-5527

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Date deposited: 27 Oct 2016 13:17
Last modified: 09 Oct 2018 00:30

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Contributors

Author: Michael West
Thesis advisor: Stephen Theriault ORCID iD

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