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
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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 $K$ 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