T-Path Formula and Atomic Bases for Cluster Algebras of Type D
classification
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keywords
clusterformulaarcsatomict-pathtypealgebraalgebras
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We extend a T-path expansion formula for arcs on an unpunctured surface to the case of arcs on a once-punctured polygon and use this formula to give a combinatorial proof that cluster monomials form the atomic basis of a cluster algebra of type D.
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