2011/05/24 by Roberto Paoletti
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Diagonal #Equivariant map #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Hamiltonian (control theory) #Line bundle #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics #Scaling #Symplectic geometry #Symplectomorphism #math-ph #math.MP #math.SG
paper · pdf · doi:10.1142/s0129167x12501029
arxiv created 2011/05/24 · openalex publication_date 2012/06/08 · arxiv updated 2012/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In recent years, the near diagonal asymptotics of the equivariant components of the Szegö kernel of a positive line bundle on a compact symplectic manifold have been studied extensively by many authors. As a natural generalization of this theme, here we consider the local scaling asymptotics of the Toeplitz quantization of a Hamiltonian symplectomorphism, and specifically how they concentrate on the graph of the underlying classical map.