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arXiv · 1105.0805

The general caloron correspondence

Pedram Hekmati·Michael K. Murray·Raymond F. Vozzo
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Abstract

We outline in detail the general caloron correspondence for the group of automorphisms of an arbitrary principal $G$-bundle $Q$ over a manifold $X$, including the case of the gauge group of $Q$. These results are used to define characteristic classes of gauge group bundles. Explicit but complicated differential form representatives are computed in terms of a connection and Higgs field.

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Pedram Hekmati, Michael K. Murray, Raymond F. Vozzo. 2011-05-04. The general caloron correspondence. https://doi.org/10.1016/j.geomphys.2011.10.015

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