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3 results on '"Mouna Chaabouni"'

2. Analyticity of a restricted formality

Author

Didier Arnal, Mabrouka Hfaiedh, Mouna Chaabouni, Institut de Mathématiques de Bourgogne [Dijon] (IMB), Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université de Bourgogne (UB), Laboratoire de Mathématiques de Sfax, Faculté des Sciences de Sfax, Université de Sfax - University of Sfax-Université de Sfax - University of Sfax, and Université de Sfax - University of Sfax

Subjects
Pure mathematics, 010102 general mathematics, Statistical and Nonlinear Physics, Formality, Computer Science::Computational Complexity, 16. Peace & justice, Space (mathematics), 01 natural sciences, 0103 physical sciences, 010307 mathematical physics, 0101 mathematics, Algebra over a field, [MATH]Mathematics [math], Computer Science::Data Structures and Algorithms, Mathematical Physics, Subspace topology, Mathematics
Abstract

International audience; 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 ℱto this subspace is weakly analytic.

Published
2020
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3. Formalité linéaire analytique

Author

Mabrouka Hfaiedh, Didier Arnal, Mouna Chaabouni, Institut de Mathématiques de Bourgogne [Dijon] (IMB), Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université de Bourgogne (UB), Laboratoire d'Analyse Harmonique de Sfax, Faculté des Sciences de Sfax, Université de Sfax - University of Sfax-Université de Sfax - University of Sfax, and Université de Sfax - University of Sfax

Subjects
Linear formality, Pure mathematics, Kontsevich formality, 010102 general mathematics, Subalgebra, General Medicine, Formality, 16. Peace & justice, analyticity, 01 natural sciences, Mathematics::Quantum Algebra, 53D50, 53D55, 05C30, 0103 physical sciences, 010307 mathematical physics, 0101 mathematics, Algebra over a field, [MATH]Mathematics [math], Mathematics
Abstract

International audience; In this paper, we study the restriction of the Kontsevich formality to the subalgebra of the linear polyvectors in the algebra of polyvector fields on Rd.We prove that this formality is an analytic map.; Dans ce papier nous étudions la restriction de la formalité de Kontsevich à la sous-algèbre des tenseurs linéaires, dans l’algèbre de Lie des tenseurs surRd. On établit que c’est une formalité analytique.

Published
2019
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