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math.AG2011★ 19 cited
Cluster X-varieties at infinity
V. V. Fock, A. B. Goncharov
A positive space is a space with a positive atlas, i.e. a collection of rational coordinate systems with subtraction free transition functions. The set of positive real points of a…
math.AG2003★ 48 cited
Cluster ensembles, quantization and the dilogarithm
V. V. Fock, A. B. Goncharov
Cluster ensemble is a pair of positive spaces (X, A) related by a map p: A -> X. It generalizes cluster algebras of Fomin and Zelevinsky, which are related to the A-space. We devel…