Stability functions

DOI10.1007/s00039-009-0035-1zbMath1186.53101arXiv0804.3225OpenAlexW3037867518MaRDI QIDQ2269893

Zuoqin Wang, Victor W. Guillemin, Daniel M. jun. Burns

Publication date: 12 March 2010

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.3225

zbMATH Keywords

toric varietiesspectral measuressymplectic reductionquiver varietiesBohr-Sommerfeldspherical varietiesdistribution lawshalf-form correctionsKähler reduction

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Momentum maps; symplectic reduction (53D20) Geometric quantization (53D50)

Related Items

Stability and integration over Bergman metrics, Closed geodesics and pluricanonical sections on ball quotients, Asymptotics of eigensections on toric varieties, Quantization of compact symplectic manifolds, On vector-valued automorphic forms on bounded symmetric domains, Kähler quantization and entanglement, Asymptotics of Szegő kernels under Hamiltonian torus actions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The spectral density function of a toric variety
• Bergman metrics and geodesics in the space of Kähler metrics on toric varieties
• The symplectic geometry of polygons in Euclidean space
• Potential functions and actions of tori on Kähler manifolds
• Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
• Singular unitarity in ``quantization commutes with reduction
• Scaling limits for equivariant Szegö kernels
• Spectral measures on toric varieties and the asymptotic expansion of Tian-Yau-Zelditch
• The Mellin transform and spectral properties of toric varieties
• Sur le spectre des opérateurs elliptiques à bicaracteristiques toutes périodiques
• Geometric quantization and multiplicities of group representations
• Residue traces for certain algebras of Fourier integral operators
• Kaehler structures on toric varieties
• Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces
• Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
• Spectral asymptotics of Toeplitz operators on Zoll manifolds
• Polygon spaces and Grassmannians
• Distribution laws for integrable eigenfunctions.
• Toric degeneration of Schubert varieties and Gelfand--Tsetlin polytopes
• Moment maps and equivariant Szegő kernels
• Legendrian distributions with applications to relative Poincaré series
• Unitarity in ``Quantization commutes with reduction
• Riemann sums over polytopes
• Toeplitz operators and Hamiltonian torus actions
• A note on scaling asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
• Reduced phase space and toric variety coordinatizations of Delzant spaces
• Hamiltoniens périodiques et images convexes de l'application moment
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Convexity and Commuting Hamiltonians
• Geometric Invariant Theory
• Quasimodes and Bohr-Sommerfeld Conditions for the Toeplitz Operators
• Quantization and unitary representations
• Lie groups beyond an introduction
• Lectures on symplectic geometry