Note on Character Varieties and Cluster Algebras

We use Bonahon-Wong's trace map to study character varieties of the once-punctured torus and of the 4-punctured sphere. We clarify a relationship with the cluster algebra associated with ideal triangulations of surfaces, and we show that the Goldman Poisson algebra of loops on surfaces is recov...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2019
Main Author: Hikami, K.
Format: Article
Language:English
Published: Інститут математики НАН України 2019
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210072
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Note on Character Varieties and Cluster Algebras / K. Hikami // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 50 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine