{ "id": "1502.03345", "version": "v1", "published": "2015-02-11T15:53:49.000Z", "updated": "2015-02-11T15:53:49.000Z", "title": "Fibered knots and links in lens spaces", "authors": [ "Enrico Manfredi", "Alessio Savini" ], "categories": [ "math.GT" ], "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 $p \\leq -1$.", "revisions": [ { "version": "v1", "updated": "2015-02-11T15:53:49.000Z" } ], "analyses": { "subjects": [ "57M27", "57R17" ], "keywords": [ "lens space", "fibered knots", "open book decompositions", "fibered link", "mixed link diagram presentation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }