Abstract : 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.
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-02570916
Contributeur : Imb - Université de Bourgogne <>
Soumis le : mardi 12 mai 2020 - 14:56:57 Dernière modification le : samedi 19 décembre 2020 - 03:03:27
Didier Arnal, Mouna Chaabouni, Mabrouka Hfaiedh. Analyticity of a restricted formality. Journal of Mathematical Physics, American Institute of Physics (AIP), 2020, 61 (5), pp.053502. ⟨10.1063/1.5142442⟩. ⟨hal-02570916⟩