{ "id": "1108.1385", "version": "v3", "published": "2011-08-05T19:17:25.000Z", "updated": "2012-11-18T17:05:48.000Z", "title": "Quantization via Deformation of Prequantization", "authors": [ "Christian Duval", "Mark J. Gotay" ], "comment": "22 pages. Published version: Reports on Mathematical Physics 70:2 (2012) 361--374", "categories": [ "math-ph", "math.MP" ], "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 $X$.", "revisions": [ { "version": "v3", "updated": "2012-11-18T17:05:48.000Z" } ], "analyses": { "keywords": [ "deformation", "prequantization", "prequantum circle bundle", "souriau bracket" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable" } } }