quivermutation

Quiver mutation in Java: These java applets implement quiver mutation (and cluster mutation) as invented in joint work by S. Fomin and A. Zelevinsky in 2000. Quiver mutation is related to a large number of subjects in mathematics and to Seiberg duality in physics, cf. for example section 6, page 21 of this article. A quiver is an oriented graph: it has vertices (nodes) and arrows between the vertices. To mutate with respect to a vertex, click the vertex. To adjust the picture after mutation, drag the vertices. Note that edges may lie one over the other.


References in zbMATH (referenced in 24 articles )

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  1. Mizuno, Yuya: On mutations of selfinjective quivers with potential. (2015)
  2. Qiu, Yu: Stability conditions and quantum dilogarithm identities for Dynkin quivers (2015)
  3. Bastian, Janine; Holm, Thorsten; Ladkani, Sefi: Towards derived equivalence classification of the cluster-tilted algebras of Dynkin type $D$. (2014)
  4. Fordy, Allan P.: Periodic cluster mutations and related integrable maps (2014)
  5. Lampe, P.: Quantum cluster algebras of type $A$ and the dual canonical basis (2014)
  6. Li, Fang; Liu, Jichun; Yang, Yichao: Genuses of cluster quivers of finite mutation type (2014)
  7. Li, Fang; Liu, Jichun; Yang, Yichao: Non-planar cluster quivers from surface (2014)
  8. Nakanishi, Tomoki; Stella, Salvatore: Diagrammatic description of $c$-vectors and $d$-vectors of cluster algebras of finite type (2014)
  9. Amiot, Claire; Oppermann, Steffen: Algebras of acyclic cluster type: tree type and type $\widetilde A$. (2013)
  10. Bastian, Janine; Holm, Thorsten; Ladkani, Sefi: Derived equivalence classification of the cluster-tilted algebras of Dynkin type $E$. (2013)
  11. Cerulli Irelli, Giovanni; Feigin, Evgeny; Reineke, Markus: Degenerate flag varieties: moment graphs and Schröder numbers (2013)
  12. Seven, Ahmet I.: Mutation classes of skew-symmetrizable $3\times 3$ matrices (2013)
  13. Felikson, Anna; Shapiro, Michael; Tumarkin, Pavel: Cluster algebras of finite mutation type via unfoldings (2012)
  14. Felikson, Anna; Shapiro, Michael; Tumarkin, Pavel: Skew-symmetric cluster algebras of finite mutation type (2012)
  15. Yang, Dong: Endomorphism algebras of maximal rigid objects in cluster tubes (2012)
  16. Cecotti, Sergio; Del Zotto, Michele: On Arnold’s 14 `exceptional’ $ \mathcalN = 2 $ superconformal gauge theories (2011)
  17. Del Zotto, Michele: More Arnold’s $ \mathcalN = 2 $ superconformal gauge theories (2011)
  18. Keller, Bernhard: Categorification of acyclic cluster algebras: an introduction (2011)
  19. Keller, Bernhard: On cluster theory and quantum dilogarithm identities (2011)
  20. Keller, Bernhard; Scherotzke, Sarah: Linear recurrence relations for cluster variables of affine quivers. (2011)

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