Homological mirror symmetry, deformation quantization and noncommutative geometry

DOI10.1063/1.1786350zbMath1071.53053arXivhep-th/0202128OpenAlexW1995707234MaRDI QIDQ4833522

Paul Bressler, Ya. S. Sojbel'man

Publication date: 15 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0202128

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Deformation quantization, star products (53D55)

Related Items (6)

Oscillatory modules ⋮ Mirror symmetry and noncommutative geometry of A∞-categories ⋮ Batalin-Vilkovisky quantization and supersymmetric twists ⋮ On higher rank coisotropic \(A\)-branes ⋮ Bohr-Sommerfeld star products ⋮ -algebras, -categories and -functors

Cites Work

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• Remarks on A-branes, mirror symmetry, and the Fukaya category
• Vertex algebras and the formal loop space
• Chiral de Rham complex
• Deformation quantization of Poisson manifolds
• Deformations of the algebra of functions of a symplectic manifold. Comparison between Fedosov and de Wilde, Lecomte
• Mirror symmetry is \(T\)-duality
• Quantum tori, mirror symmetry and deformation theory.

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