32 citations · 88 across the 13 of their papers we have counts for
6 papers · 1 filter
Cluster Categorification of Rank 2 Webs
Ian Le, Emine Yıldırım
The homogeneous coordinate ring of the Grassmannian has a well-known cluster structure. There is a categorification of this cluster structure via a category of modul…
Cluster structures on braid varieties
Roger Casals, Eugene Gorsky, Mikhail Gorsky +3
We show the existence of cluster -structures and cluster Poisson structures on any braid variety, for any simple Lie group. The construction is achieved via weave calc…
An Approach to Cluster Structures on Moduli of Local Systems for General Groups
Ian Le
Let be a surface, a simply-connected classical group, and the associated adjoint form of the group. In \cite{FG1}, it was shown that the moduli spaces of framed local…
Cluster Structures on Higher Teichmuller Spaces for Classical Groups
Ian Le
Let be a surface, a simply-connected classical group, and the associated adjoint form of the group. We show that the spaces of moduli spaces of framed local systems $\…
Geometry of Positive Configurations in Affine Buildings
Ian Le, Evan O'Dorney
Positive configurations of points in the affine building were introduced in \cite{Le} as the basic object needed to define higher laminations. We start by giving a self-contained,…
Higher Laminations and Affine Buildings
Ian Le
We give a Thurston-like definition for laminations on higher Teichmuller spaces associated to a surface and a semi-simple group for and . The case …