Rigidity in hyperbolic Dehn filling
Geometric Topology
2019-10-25 v1 Number Theory
Abstract
This paper concerns with a rigidity of core geodesics in hyperbolic Dehn fillings. For instance, for an -cusped hyperbolic -manifold having non-symmetric cusp shapes, we show any Dehn filling of with sufficiently large coefficient is uniquely determined by the product of the holonomies of its core geodesics. We also explore various implications of the main results. An appendix by I. Agol provides an alternative geometric proof of one of the corollaries of our main arguments.
Cite
@article{arxiv.1910.11159,
title = {Rigidity in hyperbolic Dehn filling},
author = {Ian Agol and BoGwang Jeon},
journal= {arXiv preprint arXiv:1910.11159},
year = {2019}
}
Comments
31 pages; main text by Jeon, with an appendix by Agol. arXiv admin note: text overlap with arXiv:1801.07819