Whitehead doubling persists

Stavros Garoufalidis

doi:10.2140/agt.2004.4.935

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Home > Journals > Algebr. Geom. Topol. > Volume 4 > Issue 2 > Article

2004 Whitehead doubling persists

Stavros Garoufalidis

Algebr. Geom. Topol. 4(2): 935-942 (2004). DOI: 10.2140/agt.2004.4.935

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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.