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清华大学博士后张杰: On the cluster category of a marked surface&On the cluster algebra of a marked surface
清华大学 博士后张杰 cluster category marked surface&On cluster algebra
2012/1/5
This is a joint work with Thomas Brustle. We study the cluster category C(S,M) of a marked surface (S,M). We explicitly describe the indecomposable objects in C(S,M) as homotopy classes of curves in (...
Pentagonal Relations and the Exchange Module of the Type $A_n$ Cluster Algebra
Associahedron Cluster Algebra Discrete Homotopy Theory
2011/1/21
In this paper we study relations between the exchange relations in the cluster algebra of type-An, which has the 1-skeleton of the associahedron as its exchange graph, and the complex of triangulation...