Realization of some Stanley-Reisner algebras and graph colorings
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915858256756736 |
|---|---|
| author | Hu, Yang Stanley, Donald |
| author_facet | Hu, Yang Stanley, Donald |
| contents | It is a classical problem in algebraic topology to decide whether a given graded $\mathbb{Z}$-algebra can be realized as the cohomology ring of a space. In this paper, we introduce families of Stanley-Reisner algebras depending on graphs, and relate their realizability to the span coloring of the graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26744 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Realization of some Stanley-Reisner algebras and graph colorings Hu, Yang Stanley, Donald Algebraic Topology It is a classical problem in algebraic topology to decide whether a given graded $\mathbb{Z}$-algebra can be realized as the cohomology ring of a space. In this paper, we introduce families of Stanley-Reisner algebras depending on graphs, and relate their realizability to the span coloring of the graph. |
| title | Realization of some Stanley-Reisner algebras and graph colorings |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2510.26744 |