Cluster Structures and Subfans in Scattering Diagrams

We give more precise statements of the Fock-Goncharov duality conjecture for cluster varieties parametrizing SL₂/PGL₂-local systems on the once-punctured torus. Then we prove these statements. Along the way, using distinct subfans in the scattering diagram, we produce an example of a cluster variety...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Author: Zhou, Yan
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210597
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Cluster Structures and Subfans in Scattering Diagrams. Yan Zhou. SIGMA 16 (2020), 013, 35 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine