The $cd$-index of semi-Eulerian posets
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909196748849152 |
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| author | Juhnke-Kubitzke, Martina Samper, José Alejandro Venturello, Lorenzo |
| author_facet | Juhnke-Kubitzke, Martina Samper, José Alejandro Venturello, Lorenzo |
| contents | We generalize the definition of the $cd$-index of an Eulerian poset to the class of semi-Eulerian posets. For simplicial semi-Eulerian Buchsbaum posets, we show that all coefficients of the $cd$-index are non-negative. This proves a conjecture of Novik for odd dimensional manifolds and extends it to the even dimensional case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05812 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The $cd$-index of semi-Eulerian posets Juhnke-Kubitzke, Martina Samper, José Alejandro Venturello, Lorenzo Combinatorics We generalize the definition of the $cd$-index of an Eulerian poset to the class of semi-Eulerian posets. For simplicial semi-Eulerian Buchsbaum posets, we show that all coefficients of the $cd$-index are non-negative. This proves a conjecture of Novik for odd dimensional manifolds and extends it to the even dimensional case. |
| title | The $cd$-index of semi-Eulerian posets |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2405.05812 |