1996/05/08 by Martin Bordemann, Stefan Waldmann, Bordemann, M. +1
Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.q-alg/9605012
openalex publication_date 1996/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this letter we compute some elementary properties of the Fedosov star product of Weyl type, such as symmetry and order of differentiation. Moreover, we define the notion of a star product of Wick type on every Kähler manifold by a straight forward generalization of the corresponding star product in \mathbb Cn: the corresponding sequence of bidifferential operators differentiates its first argument in holomorphic directions and its second argument in antiholomorphic directions. By a Fedosov type procedure we give an existence proof of such star products for any Kähler manifold.