{ "id": "2001.03587", "version": "v1", "published": "2020-01-10T18:06:10.000Z", "updated": "2020-01-10T18:06:10.000Z", "title": "The Morse-Novikov number of knots under connected sum and cabling", "authors": [ "Kenneth L. Baker" ], "comment": "14 pages, 1 figure. Comments and reference suggestions are welcome", "categories": [ "math.GT" ], "abstract": "We show the Morse-Novikov number of knots in $S^3$ is additive under connected sum and unchanged by cabling.", "revisions": [ { "version": "v1", "updated": "2020-01-10T18:06:10.000Z" } ], "analyses": { "subjects": [ "57M25", "57M27" ], "keywords": [ "morse-novikov number", "connected sum" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }