3 papers
math.RT2024
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…
math.RT2024
Quantum geometry of moduli spaces of local systems and representation theory
Alexander Goncharov, Linhui Shen
Let G be a split semi-simple adjoint group, and S a colored decorated surface, given by an oriented surface with punctures, special boundary points, and a specified collection of b…
math.RT2024
The Chromatic Lagrangian: Wavefunctions and Open Gromov-Witten Conjectures
Gus Schrader, Linhui Shen, Eric Zaslow
Inside a symplectic leaf of the cluster Poisson variety of Borel-decorated local systems on a punctured surface is an isotropic subvariety we will call the chromatic Lagran…