Slicing Bing doubles

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Covering Link Calculus and Iterated Bing Doubles

We give a new geometric obstruction to the iterated Bing double of a knot being a slice link: for n > 1 the (n + 1)st iterated Bing double of a knot is rationally slice if and only if the nth iterated Bing double of the knot is rationally slice. The main technique of the proof is a covering link construction simplifying a given link. We prove certain similar geometric obstructions for n ≤ 1 as ...

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ژورنال

عنوان ژورنال: Algebraic & Geometric Topology

سال: 2006

ISSN: 1472-2739,1472-2747

DOI: 10.2140/agt.2006.6.2395