Lens spaces given from L-space homology 3-spheres

Details Lens spaces given from L-space homology 3-spheres Lens spaces given from L-space homology 3-spheres

2007-09-03

arxiv.org/abs/0709.0141v2

Mathematics

Geometric Topology

11 pages, 2 tables, 2 figures

Scientific paper

We consider the problem when lens spaces are given from homology spheres, and
demonstrate that many lens spaces are obtained from L-space homology sphere
which the Ozsv\'ath Szab\'o's correction term $d(Y)$ is equal to 2. We show an
inequality of slope and genus when $Y$ is L-space and $Y_p(K)$ is lens space.

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