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Polynomial splittings of metabelian von Neumann rho-invariants of knots |
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| Authors: | Se-Goo Kim Taehee Kim |
| Affiliation: | Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, Seoul 130--701, Korea ; Department of Mathematics, Konkuk University, Seoul 143--701, Korea |
| Abstract: | We show that if the connected sum of two knots with coprime Alexander polynomials has vanishing von Neumann  -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. |
| Keywords: | Knot concordance polynomial splitting |
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