The rational topology of gauge groups and of spaces of connections

Svjetlana Terzic

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arXiv · math/0311313

The rational topology of gauge groups and of spaces of connections

Svjetlana Terzic

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Abstract

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.

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Svjetlana Terzic. 2003-11-18. The rational topology of gauge groups and of spaces of connections. https://arxiv.org/abs/math/0311313

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