We develop computational tools for the tree-level superpotential of B-branes in Calabi-Yau orientifolds. Our method is based on a systematic implementation of the orientifold projection in the geometric approach of Aspinwall and Katz. In the process, we lay down some ground rules for orientifold projections in the derived category.
"D-Brane superpotentials in Calabi-Yau orientifolds." Adv. Theor. Math. Phys. 11 (3) 471 - 516, June 2007.