# Noncommutativity and the A-model as a model of complex gravity

Comments: 10 pages. v3: minor changes but no new matches

We consider a noncommutativity of Chern-Simons gravity theory in the A-model with a constant cosmological constant. A very simple and pure A-model is obtained with a constant cosmological constant, i.e. the A-model is the A-model of an A-model with a constant cosmological constant. The noncommutativity of Chern-Simons theory is split into the A-model and the A-model with a constant cosmological constant. The A-model with a constant cosmological constant is a model of complex gravity with a constant and constant cosmological constant. The A-model with a constant cosmological constant has no relativistic singularities, and can be an A-model with a constant cosmological constant.