Christian Duval, Mark J. Gotay
Published 2011-08-05, updated 2012-11-18Version 3
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 $X$.
Comments: 22 pages. Published version: Reports on Mathematical Physics 70:2 (2012) 361--374
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