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 multiplexe, polytopes constructed by Bisztriczky as generalizations of simplices.
Original language | English |
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Pages (from-to) | 1048-1057 |
Number of pages | 10 |
Journal | Discrete and Computational Geometry |
Volume | 48 |
Issue number | 4 |
DOIs | |
State | Published - Dec 2012 |
Externally published | Yes |
Bibliographical note
Funding Information:Research of the first author was partially supported by NSF grant DMS-0555268; that of the second author was partially supported by NSF grant DMS-0757828 and by Marie Curie grant IRG-270923.
Keywords
- Bier poset
- Multiplex
- Polytopes
- Toric g-vector