Construction and Representation of Neighborly Manifolds

We deal with neighborly 2-manifolds and 2-pseudomanifolds. We describe a representation of these objects, which is independent of the particular labelling of their vertices. This representation also enables an easy calculation of the automorphism group. We describe two operations which, when applied to one such object, enable us to obtain many (and perhaps all) other such objects with the same number of vertices. Finally, we apply those operations to manifolds and pseudomanifolds withvvertices, for some small values ofv.