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

Producción científica: Article › revisión exhaustiva

22 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	225-251
Número de páginas	27
Publicación	Journal of Algebraic Combinatorics
Volumen	26
N.º	2
DOI	https://doi.org/10.1007/s10801-006-0055-y
Estado	Published - sept 2007

Nota bibliográfica

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.

Financiación

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.

Financiadores	Número del financiador
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China	DMS-0200624
Natural Sciences and Engineering Research Council of Canada	RGPIN 283301

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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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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AU - Karu, Kalle

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KW - Cd-index

KW - Decomposition theorem

KW - Gorenstein posets

KW - Lattices

KW - Subdivisions

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Decomposition theorem for the cd-index of Gorenstein* posets

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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