The rational topology of gauge groups and of spaces of connections

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Let P be a principal bundle with semisimple compact simply connected structure group G over a compact simply connected four-manifold M. In this note we give explicit formulas for the rational homotopy groups and cohomology algebra of the gauge group and of the space of (irreducible) connections modulo gauge transformations for any such bundle.
12 pages, to appear in Compositio Mathematica

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Algebraic Topology, 55P62; 57R19; 58B05; 81T13

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http://salesiana.dossiersoluciones.com/handle/123456789/69247

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311313
 http://arxiv.org/abs/math/0311313

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arXiv