Outputs (2)

Bases for cluster algebras from orbifolds (2017)
Journal Article
Felikson, A., & Tumarkin, P. (2017). Bases for cluster algebras from orbifolds. Advances in Mathematics, 318, 191-232. https://doi.org/10.1016/j.aim.2017.07.025

We generalize the construction of the bracelet and bangle bases defined in [36] and the band basis defined in [43] to cluster algebras arising from orbifolds. We prove that the bracelet bases are positive, and the bracelet basis for the affine cluste... Read More about Bases for cluster algebras from orbifolds.

Double Pants Decompositions Revisited (2017)
Journal Article
Felikson, A., & Natanzon, S. (2017). Double Pants Decompositions Revisited. Moscow mathematical journal, 17(1), 51-58

Double pants decompositions were introduced by the authors in 2011, together with a flip-twist groupoid acting on these decompositions. It was shown that flip-twist groupoid acts transitively on a certain topological class of the decompositions, howe... Read More about Double Pants Decompositions Revisited.