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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].

Identiferoai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:698384
Date January 2016
CreatorsWest, Michael
ContributorsTheriault, Stephen
PublisherUniversity of Southampton
Source SetsEthos UK
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Sourcehttps://eprints.soton.ac.uk/401543/

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