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Extending the ab-index
Elena Hoster, Christian Stump, Lorenzo Vecchi · 2025-10-01 · via math.CO updates on arXiv.org

We prove for finite, graded, bounded posets, that the Poincaré-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.

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