Lens surgeries along the $n$-twisted Whitehead link
Geometric Topology
2012-05-11 v1
Abstract
We determine lens surgeries (i.e.\ Dehn surgery yielding a lens space) along the -twisted Whitehead link. To do so, we first give necessary conditions to yield a lens space from the Alexander polynomial of the link as: (1) (i.e. the Whitehead link), and (2) one of surgery coefficients is 1, 2 or 3. Our interests are not only lens surgery itself but also how to apply the Alexander polynomial for this kind of problems.
Cite
@article{arxiv.1205.2311,
title = {Lens surgeries along the $n$-twisted Whitehead link},
author = {Teruhisa Kadokami and Noriko Maruyama and Masafumi Shimozawa},
journal= {arXiv preprint arXiv:1205.2311},
year = {2012}
}
Comments
24 pages, 5 figures