The general caloron correspondence

Details The general caloron correspondence The general caloron correspondence

2011-05-04

arxiv.org/abs/1105.0805v2

J. Geom. Phys., 62(2):224-241, 2012

Mathematics

Differential Geometry

25 pages. New section added containing examples

Scientific paper

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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