2 problems

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Stanley's non-negativity conjecture for cd-indices of Gorenstein* posets
Let $P$ be a graded Eulerian poset, and let $\Phi_P$ denote its cd-index. A poset is Gorenstein when it has the homology type of a sphere; in the source this is described as $P$ tr…
Conjectureopencd-index eulerian-posets gorenstein-posetsarXiv posted 2 days ago
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Gorenstein* poset nonnegativity and Boolean-lattice lower-bound conjectures
A poset is Gorenstein when it is Cohen--Macaulay and Eulerian. Its $cd$ -index is denoted by $\Phi_P(c,d)$ ; coefficientwise comparison means comparison of the coefficients of corres…
Conjectureopencd-index gorenstein-posets poset-theoryarXiv posted 2 days ago

Stanley's non-negativity conjecture for cd-indices of Gorenstein* posets