This work is concerned with branes and differential equations for oneparameter Calabi–Yau hypersurfaces in weighted projective spaces. For a certain class of B-branes, we derive the inhomogeneous Picard–Fuchs equations satisfied by the brane superpotential. In this way, we arrive at a prediction for the real BPS invariants for holomorphic maps of worldsheets with low Euler characteristics, ending on the mirror A-branes.
"Towards open string mirror symmetry for one-parameter Calabi–Yau hypersurfaces." Adv. Theor. Math. Phys. 13 (4) 991 - 1075, August 2009.