Polynomial splittings of metabelian von Neumann rho-invariants

Se-Goo Kim; Taehee Kim

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arXiv · 0710.1929

Polynomial splittings of metabelian von Neumann rho-invariants

Se-Goo Kim·Taehee Kim

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Abstract

We show that if the connected sum of two knots with coprime Alexander polynomials has vanishing von Neumann rho-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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BibTeX RIS

Se-Goo Kim, Taehee Kim. 2007-10-10. Polynomial splittings of metabelian von Neumann rho-invariants. https://arxiv.org/abs/0710.1929

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