M. Sherman-Bennett

activity

20172026

most citedCluster structures in Schubert varieties in the Grassmannian

18 citations · 50 across the 23 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.CO2023★ 1 cited

Cluster algebras and tilings for the m=4 amplituhedron

Chaim Even-Zohar, Tsviqa Lakrec, Matteo Parisi +3

The amplituhedron $A_{n, k, m} (Z)$ is the image of the positive Grassmannian $G r_{k, n}^{\geq 0}$ under the map $Z : G r_{k, n}^{\geq 0} \to G r_{k, k + m}$ induced by a positive linear ma…

math.CO2023★ 2 cited

Demazure weaves for reduced plabic graphs (with a proof that Muller-Speyer twist is Donaldson-Thomas)

Roger Casals, Ian Le, Melissa Sherman-Bennett +1

First, this article develops the theory of weaves and their cluster structures for the affine cones of positroid varieties. In particular, we explain how to construct a weave from…

math.AG2023★ 3 cited

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 $G$ are cluster varieties. This includes open Richardson varieties inside the flag variety $G / B$ .