Prequantization and Lie brackets

Details Prequantization and Lie brackets Prequantization and Lie brackets

2004-03-16

arxiv.org/abs/math/0403269v1

Mathematics

Differential Geometry

Scientific paper

We start by describing the relationship between the classical prequantization condition and the integrability of a certain Lie algebroid associated to the problem and use this to give a global construction of the prequantizing bundle in terms of path spaces (Introduction), then we rephrase the problem in terms of groupoids (second section), and then we study the more general problem of prequantizing groupoids endowed with a multiplicative 2-forms (the rest of the paper).

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