Surgical distance between lens spaces
Geometric Topology
2008-09-23 v1
Abstract
It is well-known that any pair of closed orientable 3-manifolds are related by a finite sequence of Dehn surgeries on knots. Furthermore Kawauchi showed that such knots can be taken to be hyperbolic. In this article, we consider the minimal length of such sequences connecting a pair of 3-manifolds, in particular, a pair of lens spaces.
Keywords
Cite
@article{arxiv.0809.3707,
title = {Surgical distance between lens spaces},
author = {Kazuhiro Ichihara and Toshio Saito},
journal= {arXiv preprint arXiv:0809.3707},
year = {2008}
}
Comments
10 pages, 4 figures