On the moduli space of generalized holomorphic maps

We compute the anomalies of the topological A and B models with target space geometry of Hitchin's generalized type. The dimension of the moduli space of generalized holomorphic maps is also computed, which turns out to be equal to the total anomaly if the moduli space is unobstructed. We obtain this result by identifying the infinitesimal deformations of such maps and by using the Grothendieck-Riemann-Roch formula.