Whitehead doubling persists

Details Whitehead doubling persists Whitehead doubling persists

2000-03-28

arxiv.org/abs/math/0003189v2

Algebr. Geom. Topol. 4 (2004) 935-942

Mathematics

Geometric Topology

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

Scientific paper

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.

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