Iritani and colleagues construct a global B-model for any quasi-homogeneous polynomial that has properties similar to the properties of the physic's B-model on a Calabi-Yau manifold. The main elements in their construction are K. Saito's theory of primitive forms and Givental's higher genus reconstruction. They cover global Calab-Yau-B-model and quasi-modular forms, global Landau-Ginzburg B-model at genus zero, opposite subspaces, the quantization of Fock bundle, and mirror symmetry for orbifold Fermat Calab-Yau hypersurfaces and for Fermat Calab-Yau singularities. Annotation ©2021 Ringgold, Inc., Portland, OR (protoview.com)