English

The Zilber-Pink Conjecture and the Generalized Cosmetic Surgery Conjecture

Geometric Topology 2022-08-09 v2

Abstract

In this paper, we generalize the Cosmetic Surgery Conjecture to an nn-cusped hyperbolic 33-manifold and prove it under the assumption of another well-known conjecture in number theory, so called the Zilber-Pink Conjecture. For n=1n=1 and 22, we show them without the assumption.

Keywords

Cite

@article{arxiv.1801.07819,
  title  = {The Zilber-Pink Conjecture and the Generalized Cosmetic Surgery Conjecture},
  author = {BoGwang Jeon},
  journal= {arXiv preprint arXiv:1801.07819},
  year   = {2022}
}

Comments

Paper withdrawn. It is superseded by author's later work