Whitehead doubling persists

Abstract

The operation of (untwisted) Whitehead doubling trivializes the Alexander module of a knot (and consequently, all known abelian invariants), and converts knots to topologically slice ones. In this note we show that Whitehead doubling does not trivialize the rational function that equals to the 2-loop part of the Kontsevich integral.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-40.abs.html

References in corpus (4)

• Claspers and finite type invariants of links
• Calculus of clovers and finite type invariants of 3-manifolds
• A rational noncommutative invariant of boundary links
• The lines of the Kontsevich integral and Rozansky's rationality conjecture

Cited by in corpus (3)

• A computation of the Kontsevich integral of torus knots
• On Kontsevich integral of torus knots
• Periodicity of Goussarov-Vassiliev knot invariants