On diffeological principal bundles of non-formal pseudo-differential operators over formal ones
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 smoothi...
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| Format: | Article |
| Language: | English |
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Odesa National University of Technology
2023-08-01
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| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
| Subjects: | |
| Online Access: | https://journals.ontu.edu.ua/index.php/geometry/article/view/2298 |
| _version_ | 1797755389451698176 |
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| author | Jean-Pierre Magnot |
| author_facet | Jean-Pierre Magnot |
| author_sort | Jean-Pierre Magnot |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T17:47:10Z |
| format | Article |
| id | doaj.art-005a0039394240c2a4fea84912a75152 |
| institution | Directory Open Access Journal |
| issn | 2072-9812 2409-8906 |
| language | English |
| last_indexed | 2024-03-12T17:47:10Z |
| publishDate | 2023-08-01 |
| publisher | Odesa National University of Technology |
| record_format | Article |
| series | Pracì Mìžnarodnogo Geometričnogo Centru |
| spelling | doaj.art-005a0039394240c2a4fea84912a751522023-08-03T13:26:29ZengOdesa National University of TechnologyPracì Mìžnarodnogo Geometričnogo Centru2072-98122409-89062023-08-0116212514110.15673/pigc.v16i2.22982298On diffeological principal bundles of non-formal pseudo-differential operators over formal onesJean-Pierre MagnotWe 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.https://journals.ontu.edu.ua/index.php/geometry/article/view/2298diffeologyprincipal bundlepseudo-differential operatorssmoothnig operatorindex theoryholonomy |
| spellingShingle | Jean-Pierre Magnot On diffeological principal bundles of non-formal pseudo-differential operators over formal ones Pracì Mìžnarodnogo Geometričnogo Centru diffeology principal bundle pseudo-differential operators smoothnig operator index theory holonomy |
| title | On diffeological principal bundles of non-formal pseudo-differential operators over formal ones |
| title_full | On diffeological principal bundles of non-formal pseudo-differential operators over formal ones |
| title_fullStr | On diffeological principal bundles of non-formal pseudo-differential operators over formal ones |
| title_full_unstemmed | On diffeological principal bundles of non-formal pseudo-differential operators over formal ones |
| title_short | On diffeological principal bundles of non-formal pseudo-differential operators over formal ones |
| title_sort | on diffeological principal bundles of non formal pseudo differential operators over formal ones |
| topic | diffeology principal bundle pseudo-differential operators smoothnig operator index theory holonomy |
| url | https://journals.ontu.edu.ua/index.php/geometry/article/view/2298 |
| work_keys_str_mv | AT jeanpierremagnot ondiffeologicalprincipalbundlesofnonformalpseudodifferentialoperatorsoverformalones |