Fedosov *-products and quantum momentum maps
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Publication:1290457
DOI10.1007/s002200050446zbMath0939.37048arXivq-alg/9608006OpenAlexW2006054209MaRDI QIDQ1290457
Publication date: 28 May 2000
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9608006
Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Deformation quantization, star products (53D55)
Related Items (32)
Classification of equivariant star products on symplectic manifolds ⋮ Remarks on generalized Fedosov algebras ⋮ Commutativity of quantization and reduction for quiver representations ⋮ Fedosov quantization on symplectic ringed spaces ⋮ Deformations of momentum maps and G-systems ⋮ Quantum moment map and obstructions to the existence of closed Fedosov star products ⋮ Deformation quantization and homological reduction of a lattice gauge model ⋮ Quantizable functions on Kähler manifolds and non-formal quantization ⋮ BRST reduction of quantum algebras with \(^*\)-involutions ⋮ A non-formal formula for the Rankin-Cohen deformation quantization ⋮ A COHOMOLOGICAL CONSTRUCTION OF MODULES OVER FEDOSOV DEFORMATION QUANTIZATION ALGEBRA ⋮ \(\mathcal W\) geometry from Fedosov's deformation quantization ⋮ A formal model of Berezin-Toeplitz quantization ⋮ Characteristic classes of star products on Marsden-Weinstein reduced symplectic manifolds ⋮ G-systems and deformation of G-actions on ${\mathbb {R}}^{d}$Rd ⋮ Low-energy effective action of \(N=2\) gauge multiplet induced by hypermultiplet matter ⋮ Noncommutative gauge theories from deformation quantization. ⋮ Quantized symplectic actions and 𝑊-algebras ⋮ Wick type deformation quantization of Fedosov manifolds ⋮ Invariant star products of Wick type: classification and quantum momentum mappings ⋮ On the inverse mapping of the formal symplectic groupoid of a deformation quantization ⋮ Classification of polarized deformation quantizations ⋮ Toeplitz operators and Hamiltonian torus actions ⋮ Quantization of formal classical dynamical \(r\)-matrices: the reductive case ⋮ Some remarks on \(\mathfrak g\)-variant Fedosov star products and quantum momentum mappings ⋮ QUANTUM MOMENT MAPS AND INVARIANTS FOR G-INVARIANT STAR PRODUCTS ⋮ Equivariant deformation quantization and coadjoint orbit method ⋮ Quantization of emergent gravity ⋮ Formal symplectic groupoid of a deformation quantization ⋮ Triangular dynamical \(r\)-matrices and quantization ⋮ The strong homotopy structure of Poisson reduction ⋮ Wick quantisation of a symplectic manifold
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