由箭图诱导的分次Frobenius代数及其扭超势

Graded Frobenius Algebras Induced by Quivers with Twisted Superpotentials

本文讨论由箭图诱导的分次Frobenius代数,利用代数的Frobenius形式来研究箭图的几何性质.将分次Frobenius代数从连通的情形推广到非连通的情形中去,并通过扭超势构造这类由箭图诱导的分次Frobenius代数.

Graded Frobenius algebras induced by quivers are discussed in this paper.The geometric properties of quivers are expressed through Frobenius form of algebras.Graded Frobenius algebras are genenalized from connected cases to non-connected ones,and this class of graded Frobenius algebras induced by quivers is constructed by twisted superpotentials.