Cosmological constant and renormalization of gravity
  In arXiv:1601.02203 and arXiv:1702.07063, we have proposed a topological
model with a simple Lagrangian density and have tried to solve one of the
cosmological constant problems. The Lagrangian density is the BRS exact and
therefore the model can be regarded as a topological theory. In this model, the
divergence of the vacuum energy coming from the quantum corrections from
matters can be absorbed into the redefinition of the scalar field. In this
paper, we consider the extension of the model in order to apply the mechanism
to other kinds of divergences coming from the quantum correction and consider
the cosmology in an extended model.
