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Extending the ab-index (2510.00951v1)
Published 1 Oct 2025 in math.CO
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.
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