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Homotopy decompositions of gauge groups over Riemann surfaces and applications to moduli spaces. (English) Zbl 1246.55006

The author completes the computation of the \(p\)-localized homotopy type of the gauge space of a \(U(n)\)-bundle over a surface. For \(n<p\) this was done by the author in [Algebr. Geom. Topol. 10, No. 1, 535–564 (2010; Zbl 1196.55009)]. The case \(n\geq p\) is studied in this paper.

MSC:

55P15 Classification of homotopy type
55P35 Loop spaces
81T13 Yang-Mills and other gauge theories in quantum field theory

Citations:

Zbl 1196.55009
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References:

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