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- W3201998525 abstract "We construct scattering diagrams for generalized cluster algebras, generalizing the cluster scattering diagrams of Gross, Hacking, Keel and Kontsevich. They turn out to be natural objects arising in Fock and Goncharov's cluster duality. Analogous features and structures (such as positivity and the cluster complex structure) in the ordinary case also appear in the generalized situation. With the help of these scattering diagrams, we show that generalized cluster variables are theta functions and hence have certain positivity property." @default.
- W3201998525 created "2021-10-11" @default.
- W3201998525 creator A5030092367 @default.
- W3201998525 date "2021-10-05" @default.
- W3201998525 modified "2023-09-27" @default.
- W3201998525 title "Scattering diagrams for generalized cluster algebras" @default.
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- W3201998525 doi "https://doi.org/10.48550/arxiv.2110.02416" @default.
- W3201998525 hasPublicationYear "2021" @default.
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