Star Products and Certain Star Product Functions

DOI10.1007/978-3-0348-0645-9_4zbMath1308.53129OpenAlexW119088862MaRDI QIDQ5498845

Chishu Tsukamoto, Akira Yoshioka, Mari Iida

Publication date: 11 February 2015

Published in: Geometric Methods in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0645-9_4

zbMATH Keywords

deformation quantizationstar product

Mathematics Subject Classification ID

Deformation quantization, star products (53D55) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Cites Work

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• Star products and applications
• Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
• Weyl manifolds and deformation quantization
• Equivalence of deformations and associated *-products
• Deformation theory and quantization. I: Deformations of symplectic structures
• Elliptic functions according to Eisenstein and Kronecker.
• A simple geometrical construction of deformation quantization
• Deformation quantization of Poisson manifolds
• Orderings and non-formal deformation quantization

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