MONODROMY AND PFAFFIAN OF LAURICELLA'S FD IN TERMS OF THE INTERSECTION FORMS OF TWISTED (CO)HOMOLOGY GROUPS
MONODROMY AND PFAFFIAN OF LAURICELLA'S FD IN TERMS OF THE INTERSECTION FORMS OF TWISTED (CO)HOMOLOGY GROUPS
复制标题
扭转(共)同调群交集形式的劳里塞拉FD的单调性和普法夫式
DOI：
10.2206/kyushujm.67.367
复制
发表时间：
2013
影响因子：
0.4
通讯作者：
Keiji Matsumoto
中科院分区：
文献类型：
--
作者：
Keiji Matsumoto
我们给出了Lauricella微分方程的单性表示和Pfaffian系统，消除了多变量的超几何级数FD(a,b,c;x)。我们的表示空间是与表示解的积分相关联的扭曲同调群和上同调群。在不给这些群分配基的情况下，我们用扭曲（共）同调群的交集形式来表达电路变换和连接形式的组成部分。它们中的每一个都由它的特征向量来表征。
We give the monodromy representation and the Pfaffian system of Lauricella’s differential equations annihilating the hypergeometric series FD(a, b, c; x) of multivariables. Our representation spaces are twisted homology and cohomology groups associated with integrals representing solutions. Without assigning bases to these groups, we express circuit transformations and components of the connection form in terms of the intersection form of the twisted (co)homology groups. Each of them is characterized by an eigenvector of it.