Toggleability Spaces of Fences
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929373556244480 |
|---|---|
| author | Mertin, Alec Poznanović, Svetlana |
| author_facet | Mertin, Alec Poznanović, Svetlana |
| contents | We completely describe the order ideal (resp. antichain) toggleability space for general fences: the space of statistics which are linear combinations of order ideal (antichain) indicator functions and equal to a constant plus a linear combination of toggleability statistics. This allows us to strengthen some homomesies under rowmotion on fences proven by Elizalde et al. and prove some new homomesy results for combinatorial, piecewise-linear, and birational rowmotion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02493 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Toggleability Spaces of Fences Mertin, Alec Poznanović, Svetlana Combinatorics We completely describe the order ideal (resp. antichain) toggleability space for general fences: the space of statistics which are linear combinations of order ideal (antichain) indicator functions and equal to a constant plus a linear combination of toggleability statistics. This allows us to strengthen some homomesies under rowmotion on fences proven by Elizalde et al. and prove some new homomesy results for combinatorial, piecewise-linear, and birational rowmotion. |
| title | Toggleability Spaces of Fences |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2406.02493 |