Geometric quantization in the framework of algebraic lagrangian geometry

2002/11/23 by Nikolay A. Tyurin, Tyurin, Nikolay A.
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.AG #math.SG

paper · pdf · doi:10.48550/arxiv.math/0211365

78 pages without figures, preprint of MPI (Bonn)

arxiv created 2002/11/23 · arxiv updated 2009/11/30

Abstract

This paper is a short version of the author habilitation thesis. The main results have been already published but here a lot of details are clarified. As well we add some new results: we discuss some quasi classical limit of ALG(a) - quantization, mention some topological properties of the moduli space of Bohr - Sommerfeld Lagrangian cycles of fixed type and investigate some properties of the Kaehler structure on it.

Related

• Hamiltonian dynamics on the moduli space of half weighted Bohr - Sommerfeld Lagrangian subcycles of a fixed volume
• Notes on Geometric Quantization
• Shifted geometric quantization
• Special Bohr - Sommerfeld lagrangian submanifolds in algebraic varieties
• ALAG - quantization