On Deformation Quantization using Super Twistorial Double Fibration

DOI10.1007/978-3-030-34072-8_10zbMath1459.53079OpenAlexW2989714384MaRDI QIDQ3294709

Naoya Miyazaki, Yuji Hirota, Tadashi Taniguchi

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34072-8_10

zbMATH Keywords

deformation quantizationCalabi-Yau manifoldtwistor theorycomplex supermanifold

Mathematics Subject Classification ID

Twistor theory, double fibrations (complex-analytic aspects) (32L25) Twistor methods in differential geometry (53C28) Deformation quantization, star products (53D55) Complex supergeometry (32C11)

Cites Work

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• Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
• Weyl manifolds and deformation quantization
• Projective embeddings of complex supermanifolds
• Deformation theory and quantization. II: Physical applications
• Introduction to Poisson supermanifolds
• A simple geometrical construction of deformation quantization
• Deformation quantization of Poisson manifolds
• ON NON(ANTI)COMMUTATIVE SUPER TWISTOR SPACES
• The Z2-graded Schouten–Nijenhuis bracket and generalized super-Poisson structures

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