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arXiv · 1808.08532

Twisted cohomology pairings of knots III; triple cup products

Takefumi Nosaka
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Abstract

Given a representation of a link group, we introduce a trilinear form, as a topological invariant. We show that, if the link is either hyperbolic or a knot with malnormality, then the trilinear form equals the pairing of the (twisted) triple cup product and the fundamental relative 3-class. Further, we give some examples of the computation.

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Takefumi Nosaka. 2018-08-26. Twisted cohomology pairings of knots III; triple cup products. https://arxiv.org/abs/1808.08532

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