Braid variety cluster structures, I: 3D plabic graphs
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914815983747072 |
|---|---|
| author | Galashin, Pavel Lam, Thomas Sherman-Bennett, Melissa Speyer, David |
| author_facet | Galashin, Pavel Lam, Thomas Sherman-Bennett, Melissa Speyer, David |
| contents | We introduce $3$-dimensional generalizations of Postnikov's plabic graphs and use them to establish cluster structures for type $A$ braid varieties. Our results include known cluster structures on open positroid varieties and double Bruhat cells, and establish new cluster structures for type $A$ open Richardson varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_04778 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Braid variety cluster structures, I: 3D plabic graphs Galashin, Pavel Lam, Thomas Sherman-Bennett, Melissa Speyer, David Combinatorics Algebraic Geometry Rings and Algebras Representation Theory 13F60, 14M15, 05E99 We introduce $3$-dimensional generalizations of Postnikov's plabic graphs and use them to establish cluster structures for type $A$ braid varieties. Our results include known cluster structures on open positroid varieties and double Bruhat cells, and establish new cluster structures for type $A$ open Richardson varieties. |
| title | Braid variety cluster structures, I: 3D plabic graphs |
| topic | Combinatorics Algebraic Geometry Rings and Algebras Representation Theory 13F60, 14M15, 05E99 |
| url | https://arxiv.org/abs/2210.04778 |