Adiabatic Limit, Theta Function, and Geometric Quantization

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...

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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
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine