Recent progress of intersection theory for twisted (co)homology groups
Recent progress of intersection theory for twisted (co)homology groups
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扭曲（共）同调群交集理论最新进展
DOI：
10.2969/aspm/02710217
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
Masaaki Yoshida
中科院分区：
文献类型：
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作者：
Keiji Matsumoto;Masaaki Yoshida
是伽玛函数和贝塔函数。本文给出了这些公式的几何意义：如果把这样的积分看作(一种)循环和(一种)微分形式之间的对偶，则每个公式右边的值就是两个圈的交数和左边两种形式的交数的乘积。当然，交集理论不仅仅是为了解释这些众所周知的公式；有关应用，请参见[CM]、[KM]、[YL]。
are the Gamma and the Beta functions. In this paper, we give a geometric meaning for these formulae: If one regards such an integral as the dual pairing between a (kind of) cycle and a (kind of) differential form, then the value given in the right hand side of each formula is the product of the intersection numbers of the two cycles and that of the two forms appeared in the left-hand side. Of course the intersection theory is not made only to explain these well known formulae; for applications, see [CM], [KM], [Yl].
K.Matsumoto：“超几何函数的对偶性和不变高斯-马宁系统”复合数学。
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