Mathematics – Geometric Topology
Scientific paper
2007-10-10
Mathematics
Geometric Topology
8 pages, 1 figure
Scientific paper
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.
Kim Se-Goo
Kim Taehee
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