  We consider the topological sigma-model on Riemann surfaces with genus g and
h holes, and target space CP1. We calculate the correlation functions of bulk
and boundary operators, and study the symmetries of the model and its most
general deformation. We study the open/closed topological field theory (TFT)
correspondence by summing up the boundaries. We argue that this summation can
be understood as a renormalization of the closed TFT. We couple the model to
topological gravity and derive constitutive relations between the correlation
functions of bulk and boundary operators.
