Lens spaces given from L-space homology 3-spheres

Motoo Tange

Lens spaces given from L-space homology 3-spheres

Geometric Topology 2007-09-05 v2

Authors: Motoo Tange

Abstract

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.

Keywords

lens spaces homology spheres l-space ozsváth-szabó correction term slope genus 3-manifolds

Cite

@article{arxiv.0709.0141,
  title  = {Lens spaces given from L-space homology 3-spheres},
  author = {Motoo Tange},
  journal= {arXiv preprint arXiv:0709.0141},
  year   = {2007}
}

Comments

11 pages, 2 tables, 2 figures

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