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• W2963533603 abstract "Cluster algebras are commutative rings with a set of distinguished generators having a remarkable combinatorial structure. They were introduced by Fomin and Zelevinsky in 2000 in the context of Lie theory, but have since appeared in many other contexts, from Poisson geometry to triangulations of surfaces and Teichmüller theory. In this expository paper we give an introduction to cluster algebras, and illustrate how this framework naturally arises in Teichmüller theory. We then sketch how the theory of cluster algebras led to a proof of the Zamolodchikov periodicity conjecture in mathematical physics." @default.
• W2963533603 created "2019-07-30" @default.
• W2963533603 creator A5087484791 @default.
• W2963533603 date "2013-06-10" @default.
• W2963533603 modified "2023-10-01" @default.
• W2963533603 title "Cluster algebras: an introduction" @default.
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• W2963533603 doi "https://doi.org/10.1090/s0273-0979-2013-01417-4" @default.
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