Surgery on links with unknotted components and three-manifolds

Details Surgery on links with unknotted components and three-manifolds Surgery on links with unknotted components and three-manifolds

2008-01-22

arxiv.org/abs/0801.3309v1

Journal of Knot Theory and Its Ramifications, Vol. 19, No. 12 (2010) 1645--1653

Mathematics

Geometric Topology

10 pages, 8 figures

Scientific paper

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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