{ "id": "1801.07819", "version": "v1", "published": "2018-01-24T00:35:30.000Z", "updated": "2018-01-24T00:35:30.000Z", "title": "The Zilber-Pink Conjecture and the Generalized Cosmetic Surgery Conjecture", "authors": [ "BoGwang Jeon" ], "comment": "88 pages, 1 table. This is a extension of the paper arXiv:1605.02258, and two papers partially overlap each other", "categories": [ "math.GT" ], "abstract": "In this paper, we generalize the Cosmetic Surgery Conjecture to an $n$-cusped hyperbolic $3$-manifold and prove it under the assumption of another well-known conjecture in number theory, so called the Zilber-Pink Conjecture. For $n=1$ and $2$, we show them without the assumption.", "revisions": [ { "version": "v1", "updated": "2018-01-24T00:35:30.000Z" } ], "analyses": { "keywords": [ "generalized cosmetic surgery conjecture", "zilber-pink conjecture", "assumption", "well-known conjecture", "number theory" ], "note": { "typesetting": "TeX", "pages": 88, "language": "en", "license": "arXiv", "status": "editable" } } }