Séminaire Lotharingien de Combinatoire, 85B.86 (2021), 12 pp.

Man-Wai Cheung, Elizabeth Kelley and Gregg Musiker

Cluster Scattering Diagrams and Theta Basis for Reciprocal Generalized Cluster Algebras

Abstract. We give a construction of generalized cluster scattering diagrams, generalized cluster varieties, and theta bases for reciprocal generalized cluster algebras, the latter of which were defined by Chekhov and Shapiro. These constructions are analogous to the structures given for ordinary cluster algebras in the work of Gross, Hacking, Keel, and Kontsevich.

Received: December 1, 2020. Accepted: March 1, 2021. Final version: April 29, 2021.

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