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The Zilber-Pink Conjecture and the Generalized Cosmetic Surgery Conjecture

Published 24 Jan 2018 in math.GT | (1801.07819v2)

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.

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