2001/10/18 by G. Sardanashvily, Sardanashvily, G.
Mathematics · Physics and Astronomy · #53D50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #math-ph #math.DG #math.MP #msc:53D50 #quant-ph
paper · pdf · doi:10.48550/arxiv.math/0110196
14 pages
openalex publication_date 2001/10/18 · arxiv created 2001/11/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Geometric quantization of a Poisson manifold need not imply quantization of its symplectic leaves. We provide the leafwise geometric quantization of a Poisson manifold, seen as a foliated one, whose quantum algebra restricted to each leaf is quantized.