Nonpolytopal nonsimplicial lattice spheres with nonnegative toric g-vector
arXiv:1110.0739
Abstract
We construct many nonpolytopal nonsimplicial Gorenstein* meet semi-lattices with nonnegative toric g-vector, supporting a conjecture of Stanley. These are formed as Bier spheres over the face posets of multiplexes, polytopes constructed by Bisztriczky as generalizations of simplices.
10 pages. Final version. Theorem on shellability added in the last section