Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Rational homotopy of gauge groups

Author(s): Yves Félix; John Oprea
Journal: Proc. Amer. Math. Soc. 137 (2009), 1519-1527.
MSC (2000): Primary 55P99; Secondary 57R91, 57S05
Posted: November 20, 2008
MathSciNet review: 2465678
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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 and cohomology groups of alone.

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