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Surgery on links with unknotted components and three-manifolds

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arxiv 0801.3309 v1 pith:HWUCHEK4 submitted 2008-01-22 math.GT

classification math.GT
keywords integralcomponentlinksamesurgeriessurgerythree-manifoldthree-sphere
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It is shown that any closed three-manifold M obtained by integral surgery on a knot in the three-sphere can always be constructed from integral surgeries on a 3-component link L with each component being an unknot in the three-sphere. It is also interesting to notice that infinitely many different integral surgeries on the same link L could give the same three-manifold M.

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