论文标题

Blanchfield配对和结的共同体配对的一些比较

Some comparisons of Blanchfield pairings and cohomology pairings of knots

论文作者

Nosaka, Takefumi

论文摘要

我们研究了局部系数中的双线性共同体配对与结的Blanchfield配对之间的一些比较。我们表明,以前的配对是$ s $等效的不变性,并给出了两个配对之间关系的标准。我们还观察到某些结的配对是等效的,而其他结的配对也不等效。

We study some comparison between a bilinear cohomology pairing in local coefficients and the Blanchfield pairing of a knot. We show that the former pairing is an $S$-equivalent invariant, and give a criterion to a relation between the two pairings. We also observe that the pairings of some knots are equivalent, and that the pairings of other knots are not equivalent.

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