f-polynomials, h-polynomials and l2-Euler characteristics
We introduce a many-variable version of the f-polynomial and h-polynomial associated to a finite simplicial complex. In this context the h-polynomial is actually a rational function. We establish connections with the l2-Euler characteristic of right-angled buildings. When L is a triangulation of a s...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:52295 |
| Acceso en línea: | https://ddd.uab.cat/record/52295 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54110_04 |
| Access Level: | acceso abierto |
| Palabra clave: | H-polynomial L2-euler characteristic |
| Sumario: | We introduce a many-variable version of the f-polynomial and h-polynomial associated to a finite simplicial complex. In this context the h-polynomial is actually a rational function. We establish connections with the l2-Euler characteristic of right-angled buildings. When L is a triangulation of a sphere we obtain a new formula for the l2-Euler characteristic. |
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