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arXiv · 1310.4454

On cluster algebras from once punctured closed surfaces

Sefi Ladkani
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Abstract

We show that many cluster-theoretic properties of the Markov quiver hold also for adjacency quivers of triangulations of once-punctured closed surfaces of arbitrary genus. Along the way we consider the class P of quivers introduced by Kontsevich and Soibelman, characterize the mutation-finite quivers that belong to that class and draw some conclusions regarding non-degenerate potentials on them.

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Sefi Ladkani. 2013-10-16. On cluster algebras from once punctured closed surfaces. https://arxiv.org/abs/1310.4454

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