Cluster Variables and Perfect Matchings of Subgraphs of the dP₃ Lattice

2015/11/19 by Zhang, Sicong
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1511.06055

Abstract

We give a combinatorial intepretation of cluster variables of a specific cluster algebra under a mutation sequence of period 6, in terms of perfect matchings of subgraphs of the brane tiling dual to the quiver associated with the cluster algebra.

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