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arXiv:math/0611440 [math.CO]AbstractReferencesReviewsResources

Decomposition theorem for the cd-index of Gorenstein* posets

Richard Ehrenborg, Kalle Karu

Published 2006-11-14Version 1

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.

Comments: 22 pages, submitted to Journal of Algebraic Combinatorics
Categories: math.CO, math.AG
Subjects: 52C07, 52B05, 14F43
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