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July 2020 Twisted cohomology pairings of knots III; triple cup products
Takefumi Nosaka
Hiroshima Math. J. 50(2): 207-222 (July 2020). DOI: 10.32917/hmj/1595901628

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 the malnormal peripheral subgroup, then the trilinear form is equal to the pairing of the (twisted) triple cup product and the fundamental relative 3-class. We give some examples illustrating the main results.

Citation

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Takefumi Nosaka. "Twisted cohomology pairings of knots III; triple cup products." Hiroshima Math. J. 50 (2) 207 - 222, July 2020. https://doi.org/10.32917/hmj/1595901628

Information

Received: 9 March 2019; Revised: 5 February 2020; Published: July 2020
First available in Project Euclid: 28 July 2020

zbMATH: 07256505
MathSciNet: MR4132589
Digital Object Identifier: 10.32917/hmj/1595901628

Subjects:
Primary: 12A34, 98B76
Secondary: 23C57

Rights: Copyright © 2020 Hiroshima University, Mathematics Program

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Vol.50 • No. 2 • July 2020
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