Polynomial splittings of metabelian von Neumann rho-invariants
classification
🧮 math.GT
keywords
knotsmetabelianneumannrho-invariantsalexanderapplicationassociatedcertain
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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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