WebSep 25, 2024 · It has been inspired by three recent developments: surface cluster algebras studied by Fomin-Shapiro-Thurston, the mutation theory of quivers with potentials … WebJan 1, 2024 · 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 discovered by Goncharov and Shen. We pursue a higher analogue of a tagged triangulation in the language of tensor diagrams, extending work of …
Quivers with potentials associated to triangulated surfaces - OUP …
WebOct 30, 2024 · The second method is based on the recent combinatorial notion of cluster algebras invented by Fomin and Zelevinsky. It leads to a very concrete combinatorial structure on the objects. ... Bucher and the PI obtained explicit results for the family of the cluster algebras of oriented surfaces of Fomin, Shapiro and Thurston. These algebras … WebJul 31, 1991 · We attempt to relate two recent developments: cluster algebras associated to triangulations of surfaces by Fomin–Shapiro–Thurston, and quivers with potentials … netty inputstream to bytebuf
Fadenmoduln über Ãn und Cluster-Kombinatorik - ResearchGate
WebWe complete the classification of mutation-finite cluster algebras by extending the technique derived by Fomin, Shapiro, and Thurston to skew-symmetrizable case. We show that for every mutation-finite skew-symmetrizable matrix a diagram characterizing the matrix admits an unfolding which embeds its mutation class to the mutation class of some mutation … Web3866 East Hall Map. In a 2008 paper, Fomin, Shapiro and Thurston constructed a quiver given a triangulated bordered surface. It turns out that the class of quivers arising from this construction gives us almost all the mutation-finite quivers, only with minor exceptions. In this talk, we will review the notions of quivers and their mutations. WebMar 10, 2008 · Download PDF Abstract: We attempt to relate two recent developments: cluster algebras associated to triangulations of surfaces by Fomin-Shapiro-Thurston, … i\u0027m still alive today chord