Positroid varieties and cluster algebras
Combinatorics
2021-06-15 v2 Rings and Algebras
Representation Theory
Abstract
We show that the coordinate ring of an open positroid variety coincides with the cluster algebra associated to a Postnikov diagram. This confirms conjectures of Postnikov, Muller--Speyer, and Leclerc, and generalizes results of Scott and Serhiyenko--Sherman-Bennett--Williams.
Keywords
Cite
@article{arxiv.1906.03501,
title = {Positroid varieties and cluster algebras},
author = {Pavel Galashin and Thomas Lam},
journal= {arXiv preprint arXiv:1906.03501},
year = {2021}
}
Comments
22 pages, 7 figures. Final version to appear in Ann. Sci. \'Ec. Norm. Sup\'er