On cluster algebras from once punctured closed surfaces
On cluster algebras from once punctured closed surfaces
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关于来自一次刺穿闭合曲面的簇代数
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Sefi Ladkani
中科院分区：
文献类型：
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作者：
Sefi Ladkani
我们表明，许多集群理论的马尔可夫链的性质也适用于相邻箭图的三角剖分一次穿孔的封闭曲面的任意属。
沿着的方式，我们考虑了由Kontsevich和Soibelman引入的一类P箭图，刻画了属于这类箭图的突变有限箭图，并得出了关于它们上的非退化势的一些结论。
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.