Deformation quantizations with separation of variables on a Kähler manifold
From MaRDI portal
Publication:1924109
DOI10.1007/BF02099631zbMath0866.58037arXivhep-th/9508013OpenAlexW2963912403MaRDI QIDQ1924109
Publication date: 14 October 1996
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9508013
Geometry and quantization, symplectic methods (81S10) Local differential geometry of Hermitian and Kählerian structures (53B35) Geometric quantization (53D50)
Related Items (59)
On the phase form of a deformation quantization with separation of variables ⋮ Gauge theories on noncommutative ℂPN and Bogomol’nyi-Prasad-Sommerfield-like equations ⋮ An algebra of distributions related to a star product with separation of variables ⋮ Wick rotations in deformation quantization ⋮ On Gammelgaard's formula for a star product with separation of variables ⋮ QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS ⋮ Gauge theories in noncommutative homogeneous Kähler manifolds ⋮ Quantization of Kähler manifolds ⋮ A universal construction of universal deformation formulas, Drinfeld twists and their positivity ⋮ Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results ⋮ Deformation quantization with separation of variables of an endomorphism bundle ⋮ Weyl invariant polynomial and deformation quantization on Kähler manifolds ⋮ A heat kernel proof of the index theorem for deformation quantization ⋮ Deformation quantization for almost-Kähler manifolds ⋮ Deformation quantization with separation of variables for complex two-dimensional locally symmetric Kähler manifold ⋮ Quantizable functions on Kähler manifolds and non-formal quantization ⋮ Helton-Howe trace, Connes-Chern characters and Toeplitz quantization of Bergman spaces ⋮ On a graph theoretic formula of Gammelgaard for Berezin-Toeplitz quantization ⋮ Morita equivalence bimodules for Wick type star products. ⋮ Fock representations and deformation quantization of Kähler manifolds ⋮ Explicit formula of deformation quantization with separation of variables for complex two-dimensional locally symmetric Kähler manifold ⋮ Wick-type deformation quantization of contact metric manifolds ⋮ Strict quantization of polynomial Poisson structures ⋮ A COHOMOLOGICAL CONSTRUCTION OF MODULES OVER FEDOSOV DEFORMATION QUANTIZATION ALGEBRA ⋮ Deformation quantization via Toeplitz operators on geometric quantization in real polarizations ⋮ An invariant formula for a star product with separation of variables ⋮ Universality of Fedosov's construction for star products of Wick type on pseudo-Kähler manifolds ⋮ NORMALIZED WEYL-TYPE ⋆-PRODUCT ON KÄHLER MANIFOLDS ⋮ Construction of the canonical trace density of a deformation quantization with separation of variables ⋮ A universal formula for deformation quantization on Kähler manifolds ⋮ STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION ⋮ Infinitesimal deformations of a formal symplectic groupoid ⋮ Deformation quantization of almost Kähler models and Lagrange-Finsler spaces ⋮ Deformation quantization with separation of variables on a super-Kähler manifold ⋮ Noncommutative deformations of locally symmetric Kähler manifolds ⋮ Convergence of the Wick star product ⋮ A formal model of Berezin-Toeplitz quantization ⋮ Berezin-Toeplitz quantization and naturally defined star products for Kähler manifolds ⋮ Poisson geometry and deformation quantization near a strictly pseudoconvex boundary ⋮ An explicit formula for the Berezin star product ⋮ Star products with separation of variables admitting a smooth extension ⋮ Wick type deformation quantization of Fedosov manifolds ⋮ Invariant star products on \(S^2\) and the canonical trace ⋮ Invariant star products of Wick type: classification and quantum momentum mappings ⋮ Classification of polarized deformation quantizations ⋮ Fedosov's formal symplectic groupoids and contravariant connections ⋮ Recent Developments in Deformation Quantization ⋮ Twisted Fock representations of noncommutative Kähler manifolds ⋮ Formal oscillatory integrals and deformation quantization ⋮ Hermitian-Einstein metrics from noncommutative U(1) instantons ⋮ Strict quantization of coadjoint orbits ⋮ Coherent states on the unit ball of C n and asymptotic expansion of their associated covariant symbol ⋮ Advances in quantization: quantum tensors, explicit star-products, and restriction to irreducible leaves ⋮ Deformation quantization and geometric quantization of Abelian moduli spaces ⋮ Comparison and continuity of Wick-type star products on certain coadjoint orbits ⋮ Formal symplectic groupoid of a deformation quantization ⋮ Explicit formulas for noncommutative deformations of ${\mathbb C}{P^N}$CPN and ${\mathbb C}{H^N}$CHN ⋮ Covariant symbolic calculus for Toeplitz operators on the sphere ⋮ Formal connections for families of star products
Cites Work
- On the deformation quantization, on a Kähler manifold, associated with a Berzin quantization
- Deformation theory and quantization. II: Physical applications
- *-products on some Kähler manifolds
- Invariant star products and representations of compact semisimple Lie groups
- Quantization of Kähler manifolds. IV
- QUANTIZATION
- Quantization of Kahler Manifolds. II
This page was built for publication: Deformation quantizations with separation of variables on a Kähler manifold
