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Durham University

Department of Mathematical Sciences

Academic Staff

Publication details for Pavel Tumarkin

Felikson, A. & Tumarkin, P. (2017). Bases for cluster algebras from orbifolds. Advances in Mathematics 318: 191-232.

Author(s) from Durham


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 cluster algebra of type Cn(1) is atomic. We also show that cluster monomial bases of all skew-symmetrizable cluster algebras of finite type are atomic.