ABSTRACT: "I will try to clarify the differences among the various approaches to (and will give an overview of) 2+1-dimensional gravity. After this I will present a Kaluza-Klein dimensional reduction performed on the sole Chern-Simons gravity term. The reduced theory supports a symmetry breaking solution and an associated kink interpolating between AdS and dS geometries." REFS: hep-th/0305117 and hep-th/0401124