Formal symplectic groupoid

DOI10.1007/s00220-004-1199-zzbMath1072.58008arXivmath/0312380OpenAlexW3101684991MaRDI QIDQ1770251

Giovanni Felder, Benoit Dherin, Alberto Sergio Cattaneo

Publication date: 14 April 2005

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

Full work available at URL: https://arxiv.org/abs/math/0312380

zbMATH Keywords

quantizationRunge-Kutta methodsymplectic groupoidCampbell-Baker-Hausdorff formula

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Pseudogroups and differentiable groupoids (58H05)

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Symplectic embeddings, homotopy algebras and almost Poisson gauge symmetry ⋮ A synthetic version of Lie's second theorem ⋮ A Lie algebroid on the Wiener space ⋮ Formal Lagrangian operad ⋮ Graph complexes in deformation quantization ⋮ The universal generating function of analytical Poisson structures ⋮ Infinitesimal deformations of a formal symplectic groupoid ⋮ Deformation quantization of Leibniz algebras ⋮ Symplectic microgeometry. IV: Quantization ⋮ Quantum mechanics with coordinate dependent noncommutativity ⋮ On the inverse mapping of the formal symplectic groupoid of a deformation quantization ⋮ Symplectic categories ⋮ Fedosov's formal symplectic groupoids and contravariant connections ⋮ Quantization of emergent gravity ⋮ Generating functions for local symplectic groupoids and non-perturbative semiclassical quantization ⋮ Formal symplectic groupoid of a deformation quantization ⋮ Lagrangian fields, Calabi functions, and local symplectic groupoids ⋮ Formal oscillatory distributions

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