Rational homotopy of gauge groups

Félix, Yves; Oprea, John

doi:10.1090/S0002-9939-08-09721-9

Rational homotopy of gauge groups
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by Yves Félix and John Oprea PDF

Proc. Amer. Math. Soc. 137 (2009), 1519-1527 Request permission

Abstract:

In this brief paper, we observe that basic results from rational homotopy theory provide formulas for the rational homotopy groups of gauge groups of principal bundles $K \to P \to B$ in terms of the rational homotopy groups of $K$ and cohomology groups of $B$ alone.

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