Cluster scattering diagrams and theta basis for reciprocal generalized cluster algebras

Man Wai Cheung; Elizabeth Kelley; Gregg Musiker

Cluster scattering diagrams and theta basis for reciprocal generalized cluster algebras

Man Wai Cheung, Elizabeth Kelley, Gregg Musiker

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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.

Original language	English (US)
Article number	#86
Journal	Seminaire Lotharingien de Combinatoire
Issue number	85
State	Published - 2021
Externally published	Yes

Bibliographical note

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© 2021, Seminaire Lotharingien de Combinatoire.All Rights Reserved.

Keywords

cluster algebra
generalized cluster algebra
scattering diagram
theta function

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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.",

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T1 - Cluster scattering diagrams and theta basis for reciprocal generalized cluster algebras

AU - Cheung, Man Wai

AU - Kelley, Elizabeth

AU - Musiker, Gregg

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KW - generalized cluster algebra

KW - scattering diagram

KW - theta function

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JO - Seminaire Lotharingien de Combinatoire

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Cluster scattering diagrams and theta basis for reciprocal generalized cluster algebras

Abstract

Bibliographical note

Keywords

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