Open/Closed Topological CP1 Sigma Model

We consider the topological sigma-model on Riemann surfaces with genus g and h holes, and target space CP1≅=S2. We calculate the correlations function of bulk and boundary operators, and study their symmetries. We study the open/closed TFT correspondence by summing up the boundaries. We argue that this summation can be understood as a renormalization of the closed TFT.