arXiv Analytics

Sign in

arXiv:1801.07819 [math.GT]AbstractReferencesReviewsResources

The Zilber-Pink Conjecture and the Generalized Cosmetic Surgery Conjecture

BoGwang Jeon

Published 2018-01-24Version 1

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.

Comments: 88 pages, 1 table. This is a extension of the paper arXiv:1605.02258, and two papers partially overlap each other
Categories: math.GT
Related articles: Most relevant | Search more
arXiv:math/0512253 [math.GT] (Published 2005-12-13, updated 2009-04-28)
Cosmetic surgeries on genus one knots
arXiv:1709.01785 [math.GT] (Published 2017-09-06)
Non-hyperbolic solutions to tangle equations involving composite links
arXiv:1301.0848 [math.GT] (Published 2013-01-04)
On Non-zero Degree Maps between Quasitoric 4-Manifolds

Links

Toolbox