Quantization via Deformation of Prequantization

Abstract : We introduce the notion of a ''Souriau bracket'' on a prequantum circle bundle $Y$ over a phase space $X$ and explain how a deformation of $Y$ in the direction of this bracket provides a genuine quantization of $X$.
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Submitted on : Sunday, November 18, 2012 - 1:43:52 PM
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Christian Duval, Mark Gotay. Quantization via Deformation of Prequantization. Reports on Mathematical Physics, Elsevier, 2012, 70 (03), pp.361-374. ⟨10.1016/S0034-4877(12)60051-2⟩. ⟨hal-00613582v3⟩

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