Nonpolytopal nonsimplicial lattice spheres with nonnegative toric g-vector
Combinatorics
2012-07-25 v2
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.
Cite
@article{arxiv.1110.0739,
title = {Nonpolytopal nonsimplicial lattice spheres with nonnegative toric g-vector},
author = {Louis J. Billera and Eran Nevo},
journal= {arXiv preprint arXiv:1110.0739},
year = {2012}
}
Comments
10 pages. Final version. Theorem on shellability added in the last section