On diffeological principal bundles of non-formal pseudo-differential operators over formal ones
Jean-Pierre Magnot
Abstract:We describe the structure of diffeological bundle of non formal classical pseudo-differential operators over formal ones, and its structure group. For this, we give results on diffeological principal bundles with (a priori) no local trivialization including an Ambrose-Singer theorem, use the smoothing connections alrealy exhibited by the author in previous works, and finish with open questions.
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