A note about the isotropy groups of 2-plane bundles over closed surfaces.
A. Minatta, R. Piccinini, M. Spreafico (2003)
Collectanea Mathematica
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Displaying similar documents to “Some remarks on conjugacy classes of bundle Gauge groups”
A note about the isotropy groups of 2-plane bundles over closed surfaces.
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Let 𝓟𝓑 be the category of principal bundles and principal bundle homomorphisms. We describe completely the product preserving gauge bundle functors (ppgb-functors) on 𝓟𝓑 and their natural transformations in terms of the so-called admissible triples and their morphisms. Then we deduce that any ppgb-functor on 𝓟𝓑 admits a prolongation of principal connections to general ones. We also prove a "reduction" theorem for prolongations of principal connections into principal ones by means...