Cluster algebras and triangulated orbifolds
From MaRDI portal
Publication:715223
DOI10.1016/j.aim.2012.07.032zbMath1256.13014arXiv1111.3449OpenAlexW2071671344MaRDI QIDQ715223
Pavel Tumarkin, Michael Shapiro, A. A. Felikson
Publication date: 2 November 2012
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.3449
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Cites Work
- Unnamed Item
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- Skew-symmetric cluster algebras of finite mutation type
- Positivity for cluster algebras from surfaces
- On triangulations of surfaces
- Cluster algebras and triangulated surfaces. I: Cluster complexes
- The decorated Teichmüller space of punctured surfaces
- Cluster algebras. II: Finite type classification
- Cluster algebras I: Foundations
- Cluster Algebras of Finite Mutation Type Via Unfoldings
- Growth rate of cluster algebras
- Cluster algebras IV: Coefficients
- Orbifold Riemann surfaces: Teichmüller spaces and algebras of geodesic functions
- Quivers with potentials and their representations II: Applications to cluster algebras
- Orbifold Riemann surfaces and geodesic algebras
- Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths
- Introduction to quantum groups