Extending the ab-index
Combinatorics
2025-10-02 v1
Abstract
We prove for finite, graded, bounded posets, that the Poincar\'e-extended ab-index is obtained from the ab-index via the omega-transformation. This proves a conjecture by Dorpalen-Barry, Maglione, and the second author, and provides a more conceptual approach to ab-indices and Chow polynomials beyond R-labeled posets.
Cite
@article{arxiv.2510.00951,
title = {Extending the ab-index},
author = {Elena Hoster and Christian Stump and Lorenzo Vecchi},
journal= {arXiv preprint arXiv:2510.00951},
year = {2025}
}
Comments
10 pages, 1 picture