Some comparisons of Blanchfield pairings and cohomology pairings of knots

Takefumi Nosaka

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arXiv · 2012.13512

Some comparisons of Blanchfield pairings and cohomology pairings of knots

Takefumi Nosaka

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Abstract

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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Takefumi Nosaka. 2020-12-25. Some comparisons of Blanchfield pairings and cohomology pairings of knots. https://arxiv.org/abs/2012.13512

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