A rho-invariant of iterated torus knots

Abstract

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.

Corrected the left hand side of equations (4.2) and (4.3). The statement in Proposition 4.6 is also corected. The expression for H^2 on the bottom of page 10 has now correct sign