Cohomology in algebra, geometry, physicsand statistics

Generalized Prequantum Bundle in Diffeology

I will show how we can extend the classical circle-prequantum bundle in the case of integral symplectic manifold to any closed 2-form on any diffeological space and for any group of periods even when the torus of period is not a circle but an irrational torus. I will discuss the definition of the periods of the 2-form and the construction of the generalized prequantum bundle as a quotient of the space of paths only, without the help of an extra structure. I may give on or two singular examples.
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We shall open the ZOOM meeting at 13.00 for virtual coffee
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