{ "id": "1803.00076", "version": "v1", "published": "2018-02-28T20:46:10.000Z", "updated": "2018-02-28T20:46:10.000Z", "title": "Left-orderablity for surgeries on $(-2,3,2s+1)$-pretzel knots", "authors": [ "Zipei Nie" ], "categories": [ "math.GT" ], "abstract": "In this paper, we prove that the fundamental group of the manifold obtained by Dehn surgery along a $(-2,3,2s+1)$-pretzel knot ($s\\ge 3$) with slope $\\frac{p}{q}$ is not left orderable if $\\frac{p}{q}\\ge 2s+3$, and that it is left orderable if $\\frac{p}{q}$ is in a neighborhood of zero depending on $s$.", "revisions": [ { "version": "v1", "updated": "2018-02-28T20:46:10.000Z" } ], "analyses": { "keywords": [ "pretzel knot", "left-orderablity", "dehn surgery", "left orderable" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }