Asymptotic Massey products, induced currents and Borromean torus links
Asymptotic Massey products, induced currents and Borromean torus links
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渐近梅西积、感应电流和博罗梅安环面链路
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
E. Stredulinsky
中科院分区：
文献类型：
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作者：
P. Laurence;E. Stredulinsky
我们引入了一类电流，它允许将三阶链接的梅西积作为线积分提供一种新的、非常明确的形式。显式形式允许引入渐近 Massey 积，类似于之前 V. Arnold 为高斯积分引入的积。对于链接圆环中的无散度向量场，平均三阶渐近 Massey 乘积等于 Berger 三阶螺旋性。
We introduce a class of currents which allows a new and very explicit form for the Massey product of a third order link as a line integral. The explicit form permits the introduction of an asymptotic Massey product analogous to that introduced previously for Gauss’s integral by V. Arnold. The average third order asymptotic Massey product is shown to be equal to Berger’s third order helicity for divergence-free vector fields in linked tori.