pith. sign in

arxiv: 1502.03345 · v1 · pith:E6SJ2UNJnew · submitted 2015-02-11 · 🧮 math.GT

Fibered knots and links in lens spaces

classification 🧮 math.GT
keywords fiberedcontactdiagramlenslinklinksadvantagebook
0
0 comments X
read the original 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 $L$ in the lens space $L(p,q)$. Moreover, we construct a diagram for the lift of $L$ in the 3-sphere $S^3$ in order to show that, for $q=1$, $L$ is compatible with the standard contact structure of $L(p,1)$ when $p \leq -1$.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.