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 bu...
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University of Southampton
2016
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| Online Access: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.698384 |
| Summary: | 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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