Outputs (2)

Geometry of mutation classes of rank 3 quivers (2019)
Journal Article
Felikson, A., & Tumarkin, P. (2019). Geometry of mutation classes of rank 3 quivers. Arnold Mathematical Journal, 5(1), 37-55. https://doi.org/10.1007/s40598-019-00101-2

We present a geometric realization for all mutation classes of quivers of rank 3 with real weights. This realization is via linear reflection groups for acyclic mutation classes and via groups generated by π-rotations for the cyclic ones. The geometr... Read More about Geometry of mutation classes of rank 3 quivers.

Bases for cluster algebras from orbifolds with one marked point (2019)
Journal Article
Canakci, I., & Tumarkin, P. (2019). Bases for cluster algebras from orbifolds with one marked point. Algebraic combinatorics, 2(3), 355-365. https://doi.org/10.5802/alco.48

We generalize the construction of the bangle, band and bracelet bases for cluster algebras from unpunctured orbifolds to the case where there is only one marked point on the boundary.