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- W2799755845 abstract "Cluster algebras were introduced by Fomin and Zelevinsky [17] in 2002. Their original motivation was coming from canonical bases in Lie Theory. Today cluster algebras are connected to various fields of mathematics, includingCombinatorics (polyhedra, frieze patterns, green sequences, snake graphs, T-paths, dimer models, triangulations of surfaces)Representation theory of finite dimensional algebras (cluster categories, cluster-tilted algebras, preprojective algebras, tilting theory, 2-Calabi–Yau categories, invariant theory)Poisson geometry and algebraic geometry (cluster varieties, Grassmannians, stability conditions, scattering diagrams, Poisson structures on ({{mathrm{SL}}}(n)))Teichmuller theory (lambda-lengths, Penner coordinates, cluster varieties)Knot theory (Chern–Simons invariants, volume conjecture, Legendrian knots)Dynamical systems (frieze patterns, pentagram map, integrable systems, T-systems, sine-Gordon Y-systems)Mathematical Physics (statistical mechanics, Donaldson–Thomas invariants, quantum dilogarithm identities, BPS particles)." @default.
- W2799755845 created "2018-05-17" @default.
- W2799755845 creator A5074585215 @default.
- W2799755845 date "2018-01-01" @default.
- W2799755845 modified "2023-09-27" @default.
- W2799755845 title "Cluster Algebras from Surfaces" @default.
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- W2799755845 doi "https://doi.org/10.1007/978-3-319-74585-5_3" @default.
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