Cluster Poisson varieties at infinity

DOI10.1007/s00029-016-0282-6zbMath1383.14018OpenAlexW2529347560MaRDI QIDQ730338

Vladimir Fock, Alexander B. Goncharov

Publication date: 27 December 2016

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00029-016-0282-6

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Cluster algebras (13F60)

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Cites Work

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• The Laurent phenomenon
• The extension of the Weil-Petersson metric to the boundary of Teichmüller space
• Cluster algebras. II: Finite type classification
• The tropical totally positive Grassmannians
• Moduli spaces of local systems and higher Teichmüller theory
• Cluster algebras I: Foundations
• Cluster ensembles, quantization and the dilogarithm
• Multiple $\zeta$-motives and moduli spaces $\overline{\mathcal{M}}_{0,n}$