Webs on surfaces, rings of invariants, and clusters.

Fomin, Sergey; Pylyavskyy, Pavlo · Proc Natl Acad Sci U S A · 2014

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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.