Acyclic orientations and Hessenberg varieties
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929217989509120 |
|---|---|
| author | Novelli, Jean-Christophe Thibon, Jean-Yves |
| author_facet | Novelli, Jean-Christophe Thibon, Jean-Yves |
| contents | We exhibit a bijection between acyclic orientations of a Dyck graph and Tymoczko cells of a regular nilpotent Hessenberg variety. This implies the Shareshian-Wachs formula for the sum of the coefficients of the chromatic quasi-symmetric function of a Dyck graph in the elementary basis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11165 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Acyclic orientations and Hessenberg varieties Novelli, Jean-Christophe Thibon, Jean-Yves Combinatorics We exhibit a bijection between acyclic orientations of a Dyck graph and Tymoczko cells of a regular nilpotent Hessenberg variety. This implies the Shareshian-Wachs formula for the sum of the coefficients of the chromatic quasi-symmetric function of a Dyck graph in the elementary basis. |
| title | Acyclic orientations and Hessenberg varieties |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2401.11165 |