Year: 2023
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Androulidakis, Iakovos
Institution: National and Kapodistrian University of Athens
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4378767194