Fibered knots and links in lens spaces

preprint2015arXivOpen access

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 p≤−1p \leq -1.

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