Decomposition theorem for the cd-index of Gorenstein posets
Journal of Algebraic Combinatorics, Tome 26 (2007) no. 2, pp. 225-251.

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Summary: 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: keywords cd-index, Gorenstein ^* posets, decomposition theorem, lattices, subdivisions
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     author = {Ehrenborg, Richard and Karu, Kalle},
     title = {Decomposition theorem for the cd-index of {Gorenstein} posets},
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Ehrenborg, Richard; Karu, Kalle. Decomposition theorem for the cd-index of Gorenstein posets. Journal of Algebraic Combinatorics, Tome 26 (2007) no. 2, pp. 225-251. http://geodesic.mathdoc.fr/item/JAC_2007__26_2_a1/