Surgery on links with unknotted components and three-manifolds
Geometric Topology
2011-01-25 v1
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.
Keywords
Cite
@article{arxiv.0801.3309,
title = {Surgery on links with unknotted components and three-manifolds},
author = {Yu Guo and Li Yu},
journal= {arXiv preprint arXiv:0801.3309},
year = {2011}
}
Comments
10 pages, 8 figures