Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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On diffeological principal bundles of non-formal pseudo-differential operators over formal ones

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Published Aug 3, 2023
DOI https://doi.org/10.15673/pigc.v16i2.2298

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Jean-Pierre Magnot
University of Angers

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.

Keywords:
diffeology, principal bundle, pseudo-differential operators, smoothnig operator, index theory, holonomy

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How to Cite
Magnot, J.-P. (2023). On diffeological principal bundles of non-formal pseudo-differential operators over formal ones. Proceedings of the International Geometry Center, 16(2), 125-141. https://doi.org/10.15673/pigc.v16i2.2298
Issue
Vol 16 No 2 (2023)
Section
Papers

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