Geodesic
Homotopy decompositions of gauge groups over real surfaces
West, Michael1
1University of Southampton, Building 54, Salisbury Rd, Southampton, SO17 1BJ, United Kingdom
Algebraic and Geometric Topology, Tome 17 (2017) no. 4, pp. 2429-2480
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We analyse the homotopy types of gauge groups of principal U(n)–bundles associated to pseudoreal vector bundles in the sense of Atiyah. We provide satisfactory homotopy decompositions of these gauge groups into factors in which the homotopy groups are well known. Therefore, we substantially build upon the low-dimensional homotopy groups as provided by Biswas, Huisman and Hurtubise.

DOI : 10.2140/agt.2017.17.2429
Classification : 55P15, 55Q52, 30F50
Keywords: homotopy types, homotopy groups of special spaces, classification of homotopy types

West, Michael  1

1 University of Southampton, Building 54, Salisbury Rd, Southampton, SO17 1BJ, United Kingdom 
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West, Michael. Homotopy decompositions of gauge groups over real surfaces. Algebraic and Geometric Topology, Tome 17 (2017) no. 4, pp. 2429-2480. doi: 10.2140/agt.2017.17.2429

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