2024/05/09 by Martina Juhnke‐Kubitzke, Juhnke-Kubitzke, Martina, José Alejandro Samper +3
Mathematics · #Advanced Mathematical Identities #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Functional Equations Stability Results
paper · pdf · doi:10.48550/arxiv.2405.05812
openalex publication_date 2024/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We generalize the definition of the cd-index of an Eulerian poset to the class of semi-Eulerian posets. For simplicial semi-Eulerian Buchsbaum posets, we show that all coefficients of the cd-index are non-negative. This proves a conjecture of Novik for odd dimensional manifolds and extends it to the even dimensional case.