论文标题

与Riemann-Wirtinger积分相关的扭曲同源和同源组的交点数

Intersection numbers of twisted homology and cohomology groups associated to the Riemann-Wirtinger integral

论文作者

Goto, Yoshiaki

论文摘要

Riemann-Wirtinger积分是超几个积分的类似物,该类似物被定义为一维复合物圆环的积分。我们研究了与Riemann-Wirtinger积分相关的扭曲同源性和共同体学组的交集形式。我们得出了某些交叉数字的明确公式,并将其应用于研究单片表示,连接问题和连续性关系。

The Riemann-Wirtinger integral is an analogue of the hypergeometric integral, which is defined as an integral on a one-dimensional complex torus. We study the intersection forms on the twisted homology and cohomology groups associated with the Riemann-Wirtinger integral. We derive explicit formulas of some intersection numbers, and apply them to study the monodromy representation, connection problems, and contiguity relations.

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