TYPE-B TOPOLOGICAL MATTER, KODAIRA-SPENCER THEORY, AND MIRROR SYMMETRY

Perturbing usual type B topological matter with vector (0, 1)-forms we find a topological theory which contains explicitly Kodaira-Spencer d eformation theory. It is shown that, in genus zero, three-point correl ation functions give the Yukawa couplings for a generic point in the m oduli space of complex structures. This generalization of type B topol ogical matter seems to be the correct framework to understand mirror s ymmetry in terms of two-dimensional topological field theories.