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Androulidakis, Iakovos (2024). On a remark by Alan Weinstein. In: Magnot, Jean-Pierre. Recent Advances in Diffeologies and Their Applications. Rhode-Island: American Mathematical Society, 195-209.
Alan Weinstein remarked that, working in the framework of diffeology, a construction from Noncommutative Differential Geometry might provide the non-trivial representations required for the geometric quantisation of a symplectic structure which is not integral. In this note we show that the construction we gave with P. Antonini does indeed provide non-trivial representations.
| Item Type: | Book Section, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Language: | English |
| Date: | 1 January 2024 |
| Deposited On: | 11 Feb 2024 15:39 |
| Last Modified: | 29 Dec 2024 04:38 |
| Publisher: | American Mathematical Society |
| Number: | 794 |
| ISSN: | 0271-4132 |
| ISBN: | 9781470472542 |
| Additional Information: | Iakovos Androulidakis National and Kapodistrian University of Athens, Department of Mathematics, Panepistimiopolis, GR-15784 Athens, Greece Current address: Institut f¨ur Mathematik, Universit¨at Z¨urich, Winterthurerstrasse 190, CH- 8057 Z¨urich, Switzerland and Collegium Helveticum, The Institute of Advanced Studies of ETH, UZH and ZHdK, ETH-Zentrum, Schmelzbergstrasse 25, 8092 Z¨urich, Switzerland Acknowledgments I would like to thank Alan Weinstein for bringing the article [Wei89] to my attention. I would also like to thank Collegium Helveticum and the Institute of Mathematics of the University of Zurich, for their hospitality during the revision of this article. |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1090/conm/794/15924 |
Androulidakis, Iakovos