The Zilber-Pink Conjecture and the Generalized Cosmetic Surgery Conjecture

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.

arXiv commentPaper withdrawn. It is superseded by author's later work

References in corpus (1)

• The Unlikely Intersection Theory and the Cosmetic Surgery Conjecture

Cited by in corpus (3)

• Effective bilipschitz bounds on drilling and filling
• Rigidity in hyperbolic Dehn filling
• On anomalous subvarieties of holonomy varieties of hyperbolic 3-manifolds