A rho-invariant of iterated torus knots

Mathematics – Algebraic Topology

Scientific paper

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Clarified the notion of rho-invariant of knots in the introduction

Scientific paper

We compute rho-invariant for iterated torus knots $K$ for the standard
representation of the knot group given by abelianisation. For algebraic knots,
this invariant turns out to be very closely related to an invariant of a plane
curve singularity, coming from algebraic geometry.

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