Kähler quantization and reduction
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Publication:3376929
DOI10.1515/CRELLE.2006.015zbMath1090.53067arXivmath/0207166MaRDI QIDQ3376929
Publication date: 27 March 2006
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0207166
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Momentum maps; symplectic reduction (53D20) Geometric quantization (53D50) Stratifications in topological manifolds (57N80)
Related Items (16)
Defining relations for the orbit type strata of \(\operatorname{SU}(2)\)-lattice gauge models ⋮ A gauge model for quantum mechanics on a stratified space ⋮ A lattice gauge model of singular Marsden-Weinstein reduction. I: Kinematics ⋮ Deformation quantization and homological reduction of a lattice gauge model ⋮ The Hilbert space costratification for the orbit type strata of SU(2)-lattice gauge theory ⋮ Singular unitarity in ``quantization commutes with reduction ⋮ Kirillov's character formula, the holomorphic Peter-Weyl theorem, and the Blattner-Kostant-Sternberg pairing ⋮ Costratification in terms of coherent states ⋮ On the algebra of quantum observables for a certain gauge model ⋮ Unitarity in ``Quantization commutes with reduction ⋮ Adapted complex structures and the geodesic flow ⋮ Singular Poisson-Kähler geometry of Scorza varieties and their secant varieties ⋮ A first approximation for quantization of singular spaces ⋮ Quantization commutes with singular reduction: Cotangent bundles of compact Lie groups ⋮ Stratified Kähler structures on adjoint quotients ⋮ Quasicharacters, recoupling calculus, and Hamiltonian lattice quantum gauge theory
Cites Work
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