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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.00951 |
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| _version_ | 1866915528515256320 |
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| author | Hoster, Elena Stump, Christian Vecchi, Lorenzo |
| author_facet | Hoster, Elena Stump, Christian Vecchi, Lorenzo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00951 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extending the ab-index Hoster, Elena Stump, Christian Vecchi, Lorenzo Combinatorics 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. |
| title | Extending the ab-index |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2510.00951 |