Geometry and Physics Seminar: Atsushi Kanazawa

In their famous paper in 1994, Bershadsky, Cecotti, Ooguri and Vafa derived a set of equations called the BCOV holomorphic anomaly equations. The BCOV theory presents a generalization of the classical g=0 mirror symmetry (Hodge theory) and is capable of computing higher genus Gromov-Witten invariants. The key ingredient is the special Kaehler geometry of the moduli space of Calabi-Yau 3-folds. In this talk, I will explain the basic idea of the BCOV theory and show some interesting computations.