Outputs (2)

Exchange relations for finite type cluster algebras with acyclic initial seed and principal coefficients (2016)
Journal Article
Stella, S., & Tumarkin, P. (2016). Exchange relations for finite type cluster algebras with acyclic initial seed and principal coefficients. Symmetry, integrability and geometry: methods and applications, 12, Article 067. https://doi.org/10.3842/sigma.2016.067

We give an explicit description of all the exchange relations in any finite type cluster algebra with acyclic initial seed and principal coefficients.

Coxeter groups, quiver mutations and geometric manifolds (2016)
Journal Article
Felikson, A., & Tumarkin, P. (2016). Coxeter groups, quiver mutations and geometric manifolds. Journal of the London Mathematical Society, 94(1), 38-60. https://doi.org/10.1112/jlms/jdw023

We construct finite volume hyperbolic manifolds with large symmetry groups. The construction makes use of the presentations of finite Coxeter groups provided by Barot and Marsh, and involves mutations of quivers and diagrams defined in the theory of... Read More about Coxeter groups, quiver mutations and geometric manifolds.