Corpus ID: 236469475

Tensor diagrams and cluster combinatorics at punctures

  title={Tensor diagrams and cluster combinatorics at punctures},
  author={Christophe Fraser and Pavlo Pylyavskyy},
Fock and Goncharov introduced a family of cluster algebras associated with the moduli of SLk-local systems on a marked surface with extra decorations at marked points. We study this family from an algebraic and combinatorial perspective, emphasizing the structures which arise when the surface has punctures. When k = 2, these structures are the tagged arcs and tagged triangulations of Fomin, Shapiro, and Thurston. For higher k, the tagging of arcs is replaced by a Weyl group action at punctures… Expand


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