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arxiv: math/0403040 · v2 · pith:XVLQJQGInew · submitted 2004-03-02 · 🧮 math.FA

Generalised Connections and Curvature

classification 🧮 math.FA
keywords generalisedconnectionfibreprincipalapplicationsbundlebundlescolombeau
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The concept of generalised (in the sense of Colombeau) connection on a principal fibre bundle is introduced. This definition is then used to extend results concerning the geometry of principal fibre bundles to those that only have a generalised connection. Some applications to singular solutions of Yang-Mills theory are given.

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