An algebra of distributions related to a star product with separation of variables

2019/08/04 by Alexander Karabegov, Karabegov, Alexander
Mathematics · Physics and Astronomy · #53D55 #81Q20 #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #Advanced Topics in Algebra #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:53D55 #msc:81Q20

paper · pdf · doi:10.48550/arxiv.1908.01418

26 pages, a new introduction is written

openalex publication_date 2019/08/04 · arxiv created 2021/03/10 · arxiv updated 2021/03/11 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

Given a star product with separation of variables ⋆ on a pseudo-Kähler manifold M and a point x₀ ∈ M, we construct an associative algebra of formal distributions supported at x₀. We use this algebra to express the formal oscillatory exponents of a family of formal oscillatory integrals related to the star product ⋆.

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