Takahiko Yoshida

collaborators

2 papers

math.SG2024

Integral-integral affine geometry, geometric quantization, and Riemann-Roch

Mark Hamilton, Yael Karshon, Takahiko Yoshida

We give a simple proof that, for a pre-quantized compact symplectic manifold with a Lagrangian torus fibration, its Riemann-Roch number coincides with its number of Bohr-Sommerfeld…

math.SG2024

Adiabatic Limit, Theta Function, and Geometric Quantization

Takahiko Yoshida

Let $I ¨ : (M, I ¨ ) \to B$ be a non-singular Lagrangian torus fibration on a complete base $B$ with prequantum line bundle $(L, \nabla^{L}) \to (M, I ¨ )$ . Compactness on $M$ is…