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arxiv: 1808.08532 · v1 · pith:BPQTN7XMnew · submitted 2018-08-26 · 🧮 math.GT

Twisted cohomology pairings of knots III; triple cup products

classification 🧮 math.GT
keywords formlinktrilineartripletwistedclasscohomologycomputation
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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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