2025/11/16 by Liao, Hsuan-Yi, Stiénon, Mathieu, Xu, Ping
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.2511.12399
The main goal of this paper is to study the formal geometry of dg manifolds à la Fedosov. For any dg manifold (M, Q), we construct a Fedosov dg foliation (or dg Lie algebroid) FQ → NQ. We establish homotopy contractions between their respective spaces of polyvector fields, differential forms, polydifferential operators, and polyjets. As a consequence, we prove that their respective Cartan calculi and noncommutative calculi, in the sense of Tamarkin--Tsygan, are isomorphic.