The $cd$-index of semi-Eulerian posets
Combinatorics
2024-05-10 v1
Abstract
We generalize the definition of the -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 -index are non-negative. This proves a conjecture of Novik for odd dimensional manifolds and extends it to the even dimensional case.
Cite
@article{arxiv.2405.05812,
title = {The $cd$-index of semi-Eulerian posets},
author = {Martina Juhnke-Kubitzke and José Alejandro Samper and Lorenzo Venturello},
journal= {arXiv preprint arXiv:2405.05812},
year = {2024}
}
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