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Fibered knots and links in lens spaces

2015/02/11 by Manfredi, Enrico, Savini, Alessio
#57M27 #57R17 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1502.03345

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 S3 in order to show that, for q=1, L is compatible with the standard contact structure of L(p,1) when p ≤ -1.

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