Nonpolytopal nonsimplicial lattice spheres with nonnegative toric g-vector

Mathematics – Combinatorics

Scientific paper

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9 pages

Scientific paper

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.

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