Landau–Ginzburg/Calabi–Yau Correspondence for a Complete Intersection via Matrix Factorizations

Abstract By generalizing the Landau–Ginzburg/Calabi–Yau correspondence for hypersurfaces, we can relate a Calabi–Yau complete intersection to hybrid Landau–Ginzburg model: family of isolated singularities fibered over projective line. In recent years Fan, Jarvis, and Ruan have defined quantum invariants this type, Clader Clader–Ross provided an equivalence between these Gromov–Witten intersections, in way cohomology yields identification groups model. It is not clear how known isomorphism descending from derived equivalences (due Segal Shipman, Orlov Isik). We answer question intersections two cubics.