Classification of hyperbolic Dehn fillings I

BoGwang Jeon

Classification of hyperbolic Dehn fillings I

Geometric Topology 2024-11-21 v3 Number Theory

Authors: BoGwang Jeon

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.

Keywords

hyperbolic 3-manifold dehn filling holonomy complex volume cusped manifold

Cite

@article{arxiv.2208.09911,
  title  = {Classification of hyperbolic Dehn fillings I},
  author = {BoGwang Jeon},
  journal= {arXiv preprint arXiv:2208.09911},
  year   = {2024}
}

Comments

88 pages. Final version. To appear in the Proceedings of the London Math. Soc

Classification of hyperbolic Dehn fillings I

Abstract

Keywords

Cite

Comments

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