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• W2606945154 abstract "Given a principal bundle on an orientable closed surface with compact connected structure group, we endow the space of based gauge equivalence classes of smooth connections relative to smooth based gauge transformations with the structure of a Fréchet manifold. Using Wilson loop holonomies and a certain characteristic class determined by the topology of the bundle, we then impose suitable constraints on that Fréchet manifold that single out the based gauge equivalence classes of central Yang–Mills connections but do not directly involve the Yang–Mills equation. We also explain how our theory yields the based and unbased gauge equivalence classes of all Yang–Mills connections and deduce the stratified symplectic structure on the space of unbased gauge equivalence classes of central Yang–Mills connections. The crucial new technical tool is a slice analysis in the Fréchet setting." @default.
• W2606945154 created "2017-04-28" @default.
• W2606945154 creator A5029749848 @default.
• W2606945154 creator A5037002077 @default.
• W2606945154 date "2018-10-01" @default.
• W2606945154 modified "2023-10-13" @default.
• W2606945154 title "Yang–Mills moduli spaces over an orientable closed surface via Fréchet reduction" @default.
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• W2606945154 doi "https://doi.org/10.1016/j.geomphys.2018.06.007" @default.
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