Choix des signes pour la formalité de M. Kontsevich
By D. Arnal, Dominique Manchon, M. Masmoudi. 2000
73 citations recorded by the source corpus.
The explicit realization of M. Kontsevich\'s formality on $R^d$ is the main step of the proof of formality theorem on any manifold. We present here a coherent choice of orientations and signs in order to write completely M. Kontsevich\'s proof for $R^d$, including all the signs appearing in the formality equation.
Subfields: Algebra and Number Theory, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/fec9bf12e2441875c57117da40a2b7a4ecef6063
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In Algebra and Number Theory
In Mathematical Physics
Citations in the corpus
- Hochschild cohomology and Atiyah classes (2007, background): “of n distinct points p1, . . . , pn in H and m distinct points q1, . . . , qm in R such that q1 1 ]).”
- Lectures on Duflo isomorphisms in Lie algebra and complex geometry (2011, background): “We neglect here the orientation choices of the boundary strata of Cn and C + n,m, referring to [3] for all important details.”
- Coalgebraic Approach to the Loday Infinity Category, Stem Differential for 2n-ary Graded and Homotopy Algebras (2008, background): “[ AMM02 ]). In the sequel, we provide a proof in the Lod∞ case.”
- NonAbelian noncommutative gauge theory via noncommutative extra dimensions (2001, methodology): “j,...,αn), (87) where dµC ≡ −[C ,µ] G, with the commutative multiplication µ(f,g) = f·gof functions; the hat marks an omitted vector field. See [13, 19] for explicit constructions and more details and [37, 13] for the definition of the signs in this equation. In the following we collect the three spec”