Geodesic
Whitehead doubling persists
Garoufalidis, Stavros1
1School of Mathemtaics, Georgia Institute of Technology, Atlanta GA 30332-0160, USA
Algebraic and Geometric Topology, Tome 4 (2004) no. 2, pp. 935-942
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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.

DOI : 10.2140/agt.2004.4.935
Keywords: Whitehead double, loop filtration, Goussarov–Habiro, clovers, claspers, Kontsevich integral

Garoufalidis, Stavros  1

1 School of Mathemtaics, Georgia Institute of Technology, Atlanta GA 30332-0160, USA 
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Garoufalidis, Stavros. Whitehead doubling persists. Algebraic and Geometric Topology, Tome 4 (2004) no. 2, pp. 935-942. doi: 10.2140/agt.2004.4.935

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