title: Webs on surfaces, rings of invariants, and clusters.
abstract: We construct and study cluster algebra structures in rings of invariants of the special linear group action on collections of 3D vectors, covectors, and matrices. The construction uses Kuperberg's calculus of webs on marked surfaces with boundary.
authors: Department of Mathematics, University of Michigan, Ann Arbor, MI 48109; and fomin@umich.edu.
authors: Sergey
authors: S
authors: Fomin
authors: Department of Mathematics, University of Minnesota, Minneapolis, MN 55414.
authors: Pavlo
authors: P
authors: Pylyavskyy
keywords: invariant theory; quiver mutation; tensor diagram