Formal symplectic groupoid of a deformation quantization
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Publication:2575372
DOI10.1007/s00220-005-1336-3zbMath1087.53079arXivmath/0408007OpenAlexW3105895696MaRDI QIDQ2575372
Publication date: 9 December 2005
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0408007
deformation quantizationPoisson manifoldstar productsymplectic realizationKähler-Poisson manifoldformal symplectic groupoid
Poisson manifolds; Poisson groupoids and algebroids (53D17) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Pseudogroups and differentiable groupoids (58H05)
Related Items (16)
On the phase form of a deformation quantization with separation of variables ⋮ An algebra of distributions related to a star product with separation of variables ⋮ On Gammelgaard's formula for a star product with separation of variables ⋮ Deformation quantization with separation of variables of an endomorphism bundle ⋮ A heat kernel proof of the index theorem for deformation quantization ⋮ Formal Lagrangian operad ⋮ The universal generating function of analytical Poisson structures ⋮ Infinitesimal deformations of a formal symplectic groupoid ⋮ Deformation quantization with separation of variables on a super-Kähler manifold ⋮ The algebraic index theorem and deformation quantization of Lagrange-Finsler and Einstein spaces ⋮ A formal model of Berezin-Toeplitz quantization ⋮ Fedosov's formal symplectic groupoids and contravariant connections ⋮ Fedosov quantization of Lagrange–Finsler and Hamilton–Cartan spaces and Einstein gravity lifts on (co) tangent bundles ⋮ Generating functions for local symplectic groupoids and non-perturbative semiclassical quantization ⋮ Lagrangian fields, Calabi functions, and local symplectic groupoids ⋮ Formal oscillatory distributions
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