Surgical Distance between Lens Spaces

Kazuhiro ICHIHARA; Toshio SAITO

doi:10.3836/tjm/1313074448

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Home > Journals > Tokyo J. Math. > Volume 34 > Issue 1 > Article

June 2011 Surgical Distance between Lens Spaces

Kazuhiro ICHIHARA, Toshio SAITO

Tokyo J. Math. 34(1): 153-164 (June 2011). DOI: 10.3836/tjm/1313074448

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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.

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Kazuhiro ICHIHARA. Toshio SAITO. "Surgical Distance between Lens Spaces." Tokyo J. Math. 34 (1) 153 - 164, June 2011. https://doi.org/10.3836/tjm/1313074448