paper

Surgery on links with unknotted components and three-manifolds

arXiv:0801.3309

Abstract

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.

arXiv comment10 pages, 8 figures