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Choix des signes pour
la formalité de M. Kontsevich
D. Arnal, D. Manchon and M. Masmoudi |
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Vol. 203 (2002), No. 1, 23–66
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Abstract |
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The existence of star products on any Poisson manifold M is a consequence of Kontsevich’s formality theorem, the proof of which is based on an explicit formula giving a formality quasi-isomorphism in the flat case M = ℝd. We propose here a coherent choice of orientations and signs in order to carry on Kontsevich’s proof in the ℝd case, i.e., prove that Kontsevich’s formality quasi-isomorphism verifies indeed the formality equation with all the signs precised. |
Milestones
Received: 21 March 2000
Published: 1 March 2002
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Authors |
| D. Arnal | |
| Université de Metz Département de Mathématiques île du Saulcy 57045 Metz CEDEX 01 |
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| D. Manchon | |
| Institut Elie Cartan CNRS BP 239 54506 Vandœuvre CEDEX |
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| M. Masmoudi | |
| Université de Metz Département de Mathématiques île du Saulcy 57045 Metz CEDEX 01 |
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