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arxiv: 1503.06207 · v3 · pith:AL2H5W4Wnew · submitted 2015-03-20 · 🧮 math.CO · math.QA· math.RT

Maximal Green Sequences for Cluster Algebras Associated to the Orientable Surfaces of Genus n with Arbitrary Punctures

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keywords arbitrarygenusgreenmarkedmaximalorientablepuncturesquiver
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It is well known that any triangulation of a marked surface produces a quiver. In this paper we will provide a triangulation for orientable surfaces of genus $n$ with an arbitrary number interior marked points (called punctures) whose corresponding quiver has a maximal green sequence.

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