6533b856fe1ef96bd12b2931
RESEARCH PRODUCT
Analyticity of a restricted formality
Didier ArnalMabrouka HfaiedhMouna Chaabounisubject
Pure mathematics010102 general mathematicsStatistical and Nonlinear PhysicsFormalityComputer Science::Computational Complexity16. Peace & justiceSpace (mathematics)01 natural sciences0103 physical sciences010307 mathematical physics0101 mathematicsAlgebra over a field[MATH]Mathematics [math]Computer Science::Data Structures and AlgorithmsMathematical PhysicsSubspace topologyMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-05-01 |