English

Fibered knots and links in lens spaces

Geometric Topology 2015-02-12 v1

Abstract

We take advantage of the correspondence between fibered links, open book decompositions and contact structures on a closed connected 3-dimensional manifold to determine a mixed link diagram presentation for a particular fibered link LL in the lens space L(p,q)L(p,q). Moreover, we construct a diagram for the lift of LL in the 3-sphere S3S^3 in order to show that, for q=1q=1, LL is compatible with the standard contact structure of L(p,1)L(p,1) when p1p \leq -1.

Keywords

Cite

@article{arxiv.1502.03345,
  title  = {Fibered knots and links in lens spaces},
  author = {Enrico Manfredi and Alessio Savini},
  journal= {arXiv preprint arXiv:1502.03345},
  year   = {2015}
}
R2 v1 2026-06-22T08:27:42.104Z