{ "id": "1512.09336", "version": "v1", "published": "2015-12-31T18:37:37.000Z", "updated": "2015-12-31T18:37:37.000Z", "title": "Boundary-reducing surgeries and bridge number", "authors": [ "Kenneth L. Baker", "R. Sean Bowman", "John Luecke" ], "categories": [ "math.GT" ], "abstract": "Let $M$ be a $3$--dimensional handlebody of genus $g$. This paper gives examples of hyperbolic knots in $M$ with arbitrarily large genus $g$ bridge number which admit Dehn surgeries which are boundary-reducible manifolds.", "revisions": [ { "version": "v1", "updated": "2015-12-31T18:37:37.000Z" } ], "analyses": { "keywords": [ "bridge number", "boundary-reducing surgeries", "admit dehn surgeries", "hyperbolic knots", "dimensional handlebody" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }