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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.

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Full text:(AM) Accepted Manuscript
First Live Deposit - 26 July 2017
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Publisher statement:© 2017 This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Record Created:26 Jul 2017 14:43
Last Modified:02 Aug 2018 09:37

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