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Geometry of quiver Grassmannians of Kronecker type and canonical basis of cluster algebras (1003.3037v2)
Published 15 Mar 2010 in math.RT
Abstract: We study quiver Grassmannians associated with indecomposable representations of the Kronecker quiver. We find a cellular decomposition of them and we compute their Betti numbers. As an application, we give a geometric realization of the "canonical basis" of cluster algebras of Kronecker type (found by Sherman and Zelevinsky) and of type $A_2{(1)}$.
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