Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector

Louis J. Billera, Eran Nevo*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 languageAmerican English
Pages (from-to)1048-1057
Number of pages10
JournalDiscrete and Computational Geometry
Volume48
Issue number4
DOIs
StatePublished - Dec 2012
Externally publishedYes

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

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