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Article Dans Une Revue Journal of Mathematical Physics Année : 2020

Analyticity of a restricted formality


The Kontsevich formality can be viewed as a non-linear map ℱ from the L∞ algebra of poly-vector fields on ℝd to the space of poly-differential operators. The space of the half-homogenous poly-vector fields is a sub-L∞ algebra. We prove here that the restriction of ℱ to this subspace is weakly analytic.
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Dates et versions

hal-02570916 , version 1 (12-05-2020)



Didier Arnal, Mouna Chaabouni, Mabrouka Hfaiedh. Analyticity of a restricted formality. Journal of Mathematical Physics, 2020, 61 (5), pp.053502. ⟨10.1063/1.5142442⟩. ⟨hal-02570916⟩
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