Starting with a differential graded Lie algebra \(t\) and its associated formal (graded) moduli space \({\mathcal M}_t\), the authors define the structure of a formal Frobenius manifold on the graded vector space \(H^*(M,\Lambda^* T_M)\), where \(M\) denotes the underlying connected compact complex manifold. There is a conjecture about relations of the constructed Frobenius manifold to Gromov-Witten invariance of the dual manifold \(\widetilde M\).
The paper is organized as follows: Introduction; 1. Frobenius manifolds; 2. Moduli spaces via deformation functors; 3. Algebraic structure of the tangent sheaf of the moduli space; 4. Integral; 5. Metric on \({\mathcal T}_M\); 6. Flat coordinates on moduli space; 7. Flat connection and periods; 8. Scaling transformations; 9. Further developments; Appendix.