Surgery on links with unknotted components and three-manifolds
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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