Year: 2024
Type: article
Abstract: Let 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 is an invariant of it. In this paper, we classify Dehn fillings of with sufficiently large coefficients using this invariant. Further, for any given two Dehn fillings of (with sufficiently larger coefficients), if their aforementioned invariants are the same, it is shown their complex volumes are the same as well.
DOI: 10.1112/plms.70017
Author: BoGwang Jeon
Institution: Pohang University of Science and Technology
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4405724757