2 papers
math.AG2025
Braid variety cluster structures, II: general type
Pavel Galashin, Thomas Lam, Melissa Sherman-Bennett
We show that braid varieties for any complex simple algebraic group are cluster varieties. This includes open Richardson varieties inside the flag variety .
math.CO2024
Braid variety cluster structures, I: 3D plabic graphs
Pavel Galashin, Thomas Lam, Melissa Sherman-Bennett +1
We introduce -dimensional generalizations of Postnikov's plabic graphs and use them to establish cluster structures for type braid varieties. Our results include known clust…