Theta Functions and Adiabatic Curvature on a Torus

Ching-Hao Chang, Jih-Hsin Cheng, I-Hsun Tsai

Let $M$ be a complex torus, $L_{\hat{\mu }}\to M$ be positive line bundles parametrized by $\hat{\mu }\in {\mathrm{Pic}}^0(M)$, and $E\to {\mathrm{Pic}}^0(M)$ be a vector bundle with $E|_{\hatμ}\cong…