{ "id": "2009.07353", "version": "v1", "published": "2020-09-15T21:13:24.000Z", "updated": "2020-09-15T21:13:24.000Z", "title": "Gluck twist along satellite $2$-knots", "authors": [ "Seungwon Kim" ], "comment": "5 pages, 3 figures, Comments welcome!", "categories": [ "math.GT" ], "abstract": "In this paper, we show that the Gluck twist of certain satellite $2$-knots in a $4$-manifold do not change the diffeomorphism type.", "revisions": [ { "version": "v1", "updated": "2020-09-15T21:13:24.000Z" } ], "analyses": { "subjects": [ "57K40", "57K45" ], "keywords": [ "gluck twist", "diffeomorphism type" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }