Unitarity in ``Quantization commutes with reduction
From MaRDI portal
Publication:2472485
DOI10.1007/s00220-007-0303-6zbMath1136.53063arXivmath/0610005OpenAlexW2049742940MaRDI QIDQ2472485
Brian C. Hall, William D. Kirwin
Publication date: 22 February 2008
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0610005
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)
Related Items (11)
Reduction and coherent states ⋮ Complex time evolution in geometric quantization and generalized coherent state transforms ⋮ Higher asymptotics of unitarity in ``quantization commutes with reduction ⋮ Singular unitarity in ``quantization commutes with reduction ⋮ Quantum geometry from phase space reduction ⋮ Stability functions ⋮ Holomorphic factorization for a quantum tetrahedron ⋮ Quantization commutes with singular reduction: Cotangent bundles of compact Lie groups ⋮ Coherent States for Compact Lie Groups and Their Large-N Limits ⋮ The Mellin transform and spectral properties of toric varieties ⋮ Projective flatness in the quantisation of bosons and fermions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Almost complex structures and geometric quantization
- Semi-classical properties of geometric quantization with metaplectic correction
- Geometric quantization of Chern-Simons gauge theory
- An analytic proof of the geometric quantization conjecture of Guillemin-Sternberg
- Spherical functions on a real semisimple Lie group. A method of reduction to the complex case
- Geometric quantization and multiplicities of group representations
- Reduction of symplectic manifolds with symmetry
- Symplectic surgery and the Spin\(^c\)-Dirac operator
- Yang-Mills theory and the Segal-Bargmann transform
- The Segal-Bargmann transform on a symmetric space of compact type
- Constrained quantization and \(\theta \)-angles
- Coherent state transforms and vector bundles on elliptic curves.
- Constrained quantisation and \(\theta\)-angles. II.
- Geometric quantization and the generalized Segal-Bargmann transform for Lie groups of compact type
- Rieffel induction as generalized quantum Marsden-Weinstein reduction
- Holomorphic slices, symplectic reduction and multiplicities of representations
- Legendrian distributions with applications to relative Poincaré series
- Toeplitz operators and Hamiltonian torus actions
- Localization and the quantization conjecture
- Bergman kernels and symplectic reduction
- A proof of the Morse-Bott lemma.
- The Szegö kernel of a symplectic quotient
- Kähler quantization and reduction
- Constraints, reduction, and quantization
- Geometric Invariant Theory
- COHERENT STATES AND THE QUANTIZATION OF (1+1)-DIMENSIONAL YANG–MILLS THEORY
- Symplectic reduction and Riemann-Roch formulas for multiplicities
- Foundations of Quantum Mechanics
- Generalized Bergman kernels on symplectic manifolds
- Lie groups beyond an introduction
- Lie groups
- Nearly Kählerian embeddings of symplectic manifolds
This page was built for publication: Unitarity in ``Quantization commutes with reduction
