Quantization: Deformation and/or functor?
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Publication:2433127
DOI10.1007/s11005-005-0028-4zbMath1101.53062OpenAlexW2069788595MaRDI QIDQ2433127
Publication date: 27 October 2006
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11005-005-0028-4
Quantization in field theory; cohomological methods (81T70) Poisson manifolds; Poisson groupoids and algebroids (53D17) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)
Related Items
Infinitesimal deformation quantization of complex analytic spaces, Algebraic Symplectic Reduction and Quantization of Singular Spaces, Associative deformations of complex analytic spaces
Cites Work
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- General concept of quantization
- Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
- Star-product approach to quantum field theory: The free scalar field
- Weyl manifolds and deformation quantization
- Deformation theory applied to quantization and statistical mechanics
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Composite electrodynamics
- Some ideas about quantization
- Closed star products and cyclic cohomology
- Deformation theory and quantization. I: Deformations of symplectic structures
- Fedosov manifolds
- Operads and motives in deformation quantization
- Singletons, physics in AdS universe and oscillations of composite neutrinos
- The hidden group structure of quantum groups: Strong duality, rigidity and preferred deformations
- A simple geometrical construction of deformation quantization
- Insertion and elimination: The doubly infinite Lie algebra of Feynman graphs
- Moduli space and structure of noncommutative 3-spheres
- A path integral approach to the Kontsevich quantization formula.
- An example of cancellation of infinities in the star-quantization of fields
- Existence of a closed star product
- Deformation quantization of Poisson manifolds
- Algebraic index theorem for families
- Algebraic index theorem
- The Atiyah-Bott-Patodi method in deformation quantization
- Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
- Quantization on curves. With an appendix by Maxim Kontsevich
- On deformations of complex analytic structures. I
- Fractional analytic index
- On the deformation of rings and algebras
- A class of operator algebras which are determined by groups
- A short survey of noncommutative geometry
- Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. I. Mapping Theorems and Ordering of Functions of Noncommuting Operators
- Quantization on the sphere
- QUANTIZATION IN COMPLEX SYMMETRIC SPACES
- Generalised Deformations, Koszul Resolutions, Moyal Products
- Quantum groups and deformation quantization: Explicit approaches and implicit aspects
- Poincaré-Like Group Associated with Neutrino Physics, and Some Applications
- Quantization and unitary representations
- Generalized Hamiltonian Dynamics
- On the Contraction of Groups and Their Representations
- On the principles of elementary quantum mechanics
- Noncommutative field theory
- From local perturbation theory to Hopf and Lie algebras of Feynman graphs
- Deformation quantization of algebraic varieties.
