Classification of hyperbolic Dehn fillings I

BoGwang Jeon

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arXiv · 2208.09911

Classification of hyperbolic Dehn fillings I

BoGwang Jeon

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Abstract

Let $M$ be a $2$-cusped hyperbolic $3$-manifold. By the work of Thurston, the product of the derivatives of the holonomies of core geodesics of each Dehn filling of $M$ is an invariant of it. In this paper, we classify Dehn fillings of $M$ with sufficiently large coefficients using this invariant. Further, for any given two Dehn fillings of $M$ (with sufficiently larger coefficients), if their aforementioned invariants are the same, it is shown their complex volumes are the same as well.

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BoGwang Jeon. 2022-08-21. Classification of hyperbolic Dehn fillings I. https://arxiv.org/abs/2208.09911

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