Adiabatic Limit, Theta Function, and Geometric Quantization

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Author: Yoshida, Takahiko
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212355
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Adiabatic Limit, Theta Function, and Geometric Quantization. Takahiko Yoshida. SIGMA 20 (2024), 065, 52 pages

Let π : (, ) → be a non-singular Lagrangian torus fibration on a complete base with prequantum line bundle (, ∇ᴸ) → (, ). Compactness on is not assumed. For a positive integer and a compatible almost complex structure on (, ) invariant along the fiber of π, let be the associated Spinᶜ Dirac op...