On a remark by Alan Weinstein


Androulidakis I. On a remark by Alan Weinstein. In: Recent Advances in Diffeologies and Their Applications. Vol. 794. Contemporary Mathematics; 2024.


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.

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