Odd primary homotopy types of SU(n)–gauge groups

Theriault, Stephen¹

¹Mathematical Sciences, University of Southampton, Southampton, SO17 1BJ, United Kingdom

Algebraic and Geometric Topology, Tome 17 (2017) no. 2, pp. 1131-1150

Résumé

Let Gk(SU(n)) be the gauge group of the principal SU(n)–bundle with second Chern class k. If p is an odd prime and n ≤ (p − 1)2 + 1, we classify the p–local homotopy types of Gk(SU(n)).

Détail

DOI : 10.2140/agt.2017.17.1131

Classification : 55P15, 54C35
Keywords: gauge group, homotopy type

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