Robion Kirby: It is well understood which pairs of links give the same 3 manifolds upon surgery.
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W.
B. Raymond Lickorish: Every 3-manifold is the result of
surgery of the sphere along some link. Robion Kirby: It is well understood which pairs of links give the same 3 manifolds upon surgery. |
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For example, appropriate surgery on "Hopf chains" yields Seifert Fibered Manifolds, and studying Hopf chains (in the appropriate manner) amounts to studying Seifert Fibered Manifolds.
