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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Rational homotopy of gauge groups
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by Yves Félix and John Oprea
Proc. Amer. Math. Soc. 137 (2009), 1519-1527
DOI: https://doi.org/10.1090/S0002-9939-08-09721-9
Published electronically: November 20, 2008

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.
References
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Bibliographic Information
  • Yves Félix
  • Affiliation: Institut de Mathématique Pure et Appliquée, Chemin du Cyclotron, 2, B-1348Louvain-la-Neuve, Belgium
  • Email: Yves.Felix@uclouvain.be
  • John Oprea
  • Affiliation: Department of Mathematics, Cleveland State University, Cleveland, Ohio 44115
  • MR Author ID: 134075
  • Email: j.oprea@csuohio.edu
  • Received by editor(s): July 1, 2008
  • Received by editor(s) in revised form: August 4, 2008
  • Published electronically: November 20, 2008
  • Communicated by: Paul Goerss
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 1519-1527
  • MSC (2000): Primary 55P99; Secondary 57R91, 57S05
  • DOI: https://doi.org/10.1090/S0002-9939-08-09721-9
  • MathSciNet review: 2465678