A Correspondence between Rigid Modules Over Path Algebras and Simple Curves on Riemann Surfaces
A Correspondence between Rigid Modules Over Path Algebras and Simple Curves on Riemann Surfaces
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DOI：
10.1080/10586458.2018.1538910
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发表时间：
2017-03
影响因子：
0.5
通讯作者：
Kyu-Hwan Lee;K. Lee
中科院分区：
文献类型：
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作者：
Kyu-Hwan Lee;K. Lee
提出了无圈箭图的路代数上的刚性不可分解模集与Riemann曲面上的某些非自相交曲线集之间的拓扑对应关系，并证明了两个完全秩为3的箭图的对应关系。
Abstract We propose a conjectural correspondence between the set of rigid indecomposable modules over the path algebras of acyclic quivers and the set of certain non-self-intersecting curves on Riemann surfaces, and prove the correspondence for the two-complete rank 3 quivers.