Abstract: Using tautological relations and axioms of Cohomological field theory, we construct an explicit Landau-Ginzburg/Calabi-Yau correspondence for Fermat cubic polynomial at all genus. The Cayley transformations of quasi-modular forms allow us to compute the higher genus FJRW invariants of the Fermat cubic polynomial from the higher genus Gromov-Witten invariants of elliptic curves. This work is joint with Jun Li and Jie Zhou.
