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The rational topology of gauge groups and of spaces of connections

Published online by Cambridge University Press:  01 December 2004

Svjetlana Terzić
Svjetlana Terzić
Affiliation:
Faculty of Science, University of Montenegro, Cetinjski put bb, 81000 Podgorica, Montenegro, Serbia and Montenegrosterzic@cg.ac.yu
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Abstract

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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 paper 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.

Keywords

rational topologygauge groupsspaces of connections55P6257R1958B0581T13
Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 1 , January 2005 , pp. 262 - 270
Copyright
Foundation Compositio Mathematica 2005