Extending the ab-index
Elena Hoster, Christian Stump, Lorenzo Vecchi
公開日: 2025/10/1
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.