Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector

Louis J. Billera; Eran Nevo

doi:10.1007/s00454-012-9449-x

Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector

Louis J. Billera, Eran Nevo^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1048-1057
Number of pages	10
Journal	Discrete and Computational Geometry
Volume	48
Issue number	4
DOIs	https://doi.org/10.1007/s00454-012-9449-x
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

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10.1007/s00454-012-9449-x

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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.",

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author = "Billera, {Louis J.} and Eran Nevo",

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. ",

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N2 - 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.

AB - 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.

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KW - Multiplex

KW - Polytopes

KW - Toric g-vector

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ER -

Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector

Abstract

Bibliographical note

Keywords

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