Polynomial splittings of metabelian von neumann rho-invariants of knots

Se Goo Kim; Taehee Kim

doi:10.1090/S0002-9939-08-09372-6

Polynomial splittings of metabelian von neumann rho-invariants of knots

Se Goo Kim
, Taehee Kim

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

We show that if the connected sum of two knots with coprime Alexander polynomials has vanishing von Neumann p-invariants associated with certain metabelian representations, then so do both knots. As an application, we give a new example of an infinite family of knots which are linearly independent in the knot concordance group.

Original language	English
Pages (from-to)	4079-4087
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	136
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-08-09372-6
Publication status	Published - Nov 2008

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abstract = "We show that if the connected sum of two knots with coprime Alexander polynomials has vanishing von Neumann p-invariants associated with certain metabelian representations, then so do both knots. As an application, we give a new example of an infinite family of knots which are linearly independent in the knot concordance group.",

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AB - We show that if the connected sum of two knots with coprime Alexander polynomials has vanishing von Neumann p-invariants associated with certain metabelian representations, then so do both knots. As an application, we give a new example of an infinite family of knots which are linearly independent in the knot concordance group.

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Polynomial splittings of metabelian von neumann rho-invariants of knots

Abstract

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