Webs on surfaces, rings of invariants, and clusters

Sergey Fomin, Pavlo Pylyavskyy

Research output: Contribution to journalReview articlepeer-review

9 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)9680-9687
Number of pages8
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number27
StatePublished - Jul 8 2014


  • Invariant theory
  • Quiver mutation
  • Tensor diagram


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