The Correspondence between Geometric Quantization and Formal Deformation Quantization

1998/11/08 by Eli Hawkins, Hawkins, Eli
Mathematics · Physics and Astronomy · #46L85 #58G12 #81S10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #math-ph #math.MP #math.OA #math.QA #math.SG #msc:46L85 #msc:58G12 #msc:81S10

paper · pdf · doi:10.48550/arxiv.math/9811049

7 pages. AMS-LaTeX and AMS fonts (including Euler). Corollary to math.QA/9808116

arxiv created 1998/11/08 · openalex publication_date 1998/11/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the classification of formal deformation quantizations, and the formal, algebraic index theorem, I give a simple proof as to which formal deformation quantization (modulo isomorphism) is derived from a given geometric quantization.

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