Nonpolytopal nonsimplicial lattice spheres with nonnegative toric g-vector
classification
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keywords
g-vectornonnegativenonpolytopalnonsimplicialspherestoricbierbisztriczky
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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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