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Bases for cluster algebras from orbifolds.

Felikson, A. and Tumarkin, P. (2017) 'Bases for cluster algebras from orbifolds.', Advances in mathematics., 318 . pp. 191-232.


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.

Item Type:Article
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Publisher statement:© 2017 This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Date accepted:26 July 2017
Date deposited:26 July 2017
Date of first online publication:02 August 2017
Date first made open access:02 August 2018

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