Surgical distance between lens spaces

Details Surgical distance between lens spaces Surgical distance between lens spaces

2008-09-22

arxiv.org/abs/0809.3707v1

Mathematics

Geometric Topology

10 pages, 4 figures

Scientific paper

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.

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