A rho-invariant of iterated torus knots

Maciej Borodzik

A rho-invariant of iterated torus knots

Algebraic Topology 2012-06-21 v3 Algebraic Geometry

Authors: Maciej Borodzik

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.

Keywords

rho-invariant iterated torus knots abelianization algebraic knots plane curve singularity

Cite

@article{arxiv.0906.3660,
  title  = {A rho-invariant of iterated torus knots},
  author = {Maciej Borodzik},
  journal= {arXiv preprint arXiv:0906.3660},
  year   = {2012}
}

Comments

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

Related papers

View all related →