publication . Article . Preprint . 2010

star products with separation of variables admitting a smooth extension

Karabegov, Alexander;
Open Access
  • Published: 26 Dec 2010 Journal: Letters in Mathematical Physics, volume 101, pages 125-142 (issn: 0377-9017, eissn: 1573-0530, Copyright policy)
  • Publisher: Springer Science and Business Media LLC
Given a complex manifold $M$ with an open dense subset $\Omega$ endowed with a pseudo-Kaehler form $\omega$ which cannot be smoothly extended to a larger open subset, we consider various examples where the corresponding Kaehler-Poisson structure and a star product with separation of variables on $(\Omega, \omega)$ admit smooth extensions to $M$. We suggest a simple criterion of the existence of a smooth extension of a star product and apply it to these examples.
arXiv: Mathematics::Differential Geometry
free text keywords: Mathematical Physics, Statistical and Nonlinear Physics, A* search algorithm, law.invention, law, Mathematics, Complex manifold, Smooth structure, Discrete mathematics, Separation of variables, Topology, Dense set, Mathematics - Quantum Algebra, 53D55, 53D17, 53B35

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