Adiabatic Limit, Theta Function, and Geometric Quantization

Takahiko Yoshida

Let $\pi :(M,\omega )\to B$ be a non-singular Lagrangian torus fibration on a complete base $B$ with prequantum line bundle $(L,{\nabla }^L)\to (M,\omega )$. Compactness on $M$ is no…