Outputs (3)

Exhange graphs for mutation-finite non-integer quivers (2023)
Journal Article
Felikson, A., & Lampe, P. (2023). Exhange graphs for mutation-finite non-integer quivers. Journal of Geometry and Physics, 188, Article 104811. https://doi.org/10.1016/j.geomphys.2023.104811

Skew-symmetric non-integer matrices with real entries can be viewed as quivers with noninteger arrow weights. Such quivers can be mutated following the usual rules of quiver mutation. Felikson and Tumarkin show that mutation-finite non-integer quiver... Read More about Exhange graphs for mutation-finite non-integer quivers.

Cluster algebras of finite mutation type with coefficients (2023)
Journal Article
Felikson, A., & Tumarkin, P. (in press). Cluster algebras of finite mutation type with coefficients. Journal of combinatorial algebra,

We classify mutation-finite cluster algebras with arbitrary coefficients of geometric type. This completes the classification of all mutation-finite cluster algebras started in [FeSTu1].

Mutation-finite quivers with real weights (2023)
Journal Article
Felikson, A., & Tumarkin, P. (2023). Mutation-finite quivers with real weights. Forum of Mathematics, Sigma, 11, Article e9. https://doi.org/10.1017/fms.2023.8

We classify all mutation-finite quivers with real weights. We show that every finite mutation class not originating from an integer skew-symmetrisable matrix has a geometric realisation by reflections. We also explore the structure of acyclic represe... Read More about Mutation-finite quivers with real weights.