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 three-dimensional vectors, covectors, and matrices. The construction uses Kuperberg's calculus of webs on marked surfaces with boundary.

References in corpus (2)

• Bases for cluster algebras from surfaces
• A large family of indecomposable projective modules for the Khovanov-Kuperberg algebra of $s{l}_3$-webs

Cited by in corpus (10)

• Introduction to Cluster Algebras. Chapters 1-3
• Aspects of Defects in 3d-3d Correspondence
• Cluster Structures on Higher Teichmuller Spaces for Classical Groups
• BPS Graphs: From Spectral Networks to BPS Quivers
• Taming Supersymmetric Defects in 3d-3d Correspondence
• Infinitely many Lagrangian fillings
• Skein and cluster algebras of unpunctured surfaces for ${\mathfrak{sl}}_3$
• Expansion Posets for Polygon Cluster Algebras
• Chebyshev polynomials and the Frohman-Gelca formula
• On webs, polylogarithms and cluster algebras