Decomposition theorem for the cd-index of Gorenstein* posets

Richard Ehrenborg; Kalle Karu

doi:10.1007/s10801-006-0055-y

Decomposition theorem for the cd-index of Gorenstein* posets

Richard Ehrenborg, Kalle Karu

Mathematics

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We prove a decomposition theorem for the cd-index of a Gorenstein ^* poset analogous to the decomposition theorem for the intersection cohomology of a toric variety. From this we settle a conjecture of Stanley that the cd-index of Gorenstein^* lattices is minimized on Boolean algebras.

Original language	English
Pages (from-to)	225-251
Number of pages	27
Journal	Journal of Algebraic Combinatorics
Volume	26
Issue number	2
DOIs	https://doi.org/10.1007/s10801-006-0055-y
State	Published - Sep 2007

Bibliographical note

Funding Information:
Acknowledgments The first author thanks Mittag-Leffler Institute where part of this research was carried out. He was also supported by NSF Grant DMS-0200624. The second author was supported by NSERC grant RGPIN 283301.

Keywords

Cd-index
Decomposition theorem
Gorenstein* posets
Lattices
Subdivisions

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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10.1007/s10801-006-0055-y

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abstract = "We prove a decomposition theorem for the cd-index of a Gorenstein * poset analogous to the decomposition theorem for the intersection cohomology of a toric variety. From this we settle a conjecture of Stanley that the cd-index of Gorenstein* lattices is minimized on Boolean algebras.",

keywords = "Cd-index, Decomposition theorem, Gorenstein* posets, Lattices, Subdivisions",

author = "Richard Ehrenborg and Kalle Karu",

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KW - Decomposition theorem

KW - Gorenstein posets

KW - Lattices

KW - Subdivisions

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Decomposition theorem for the cd-index of Gorenstein* posets

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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