Presentations of cluster modular groups and generation by cluster Dehn twists

DOI10.3842/SIGMA.2020.025zbMath1439.13054arXiv1711.07785OpenAlexW3015918430MaRDI QIDQ1987298

Tsukasa Ishibashi

Publication date: 14 April 2020

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07785

zbMATH Keywords

mapping class groupscluster algebrascluster modular groupsquivers of finite mutation type

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Cluster algebras (13F60) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• Cluster Algebras of Finite Mutation Type Via Unfoldings
• Cluster automorphisms
• Cluster algebras IV: Coefficients
• Cluster ensembles, quantization and the dilogarithm
• Comments on Exchange Graphs in Cluster Algebras

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