On a remark by Alan Weinstein
Differential Geometry
2023-05-30 v1
Abstract
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.
Cite
@article{arxiv.2305.17759,
title = {On a remark by Alan Weinstein},
author = {Iakovos Androulidakis},
journal= {arXiv preprint arXiv:2305.17759},
year = {2023}
}
Comments
16 pages, to appear in Contemporary Mathematics, Proceedings of the AMS-EMS-SMF conference, special section on Diffeology, Grenoble 2022