Hyperbolic 3-manifolds with large kissing number

Cayo Dória; Plinio G. P. Murillo

doi:10.1090/proc/15575

Hyperbolic 3-manifolds with large kissing number

Geometric Topology 2021-11-01 v2 Metric Geometry Number Theory

Authors: Cayo Dória , Plinio G. P. Murillo

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Abstract

In this article we construct a sequence $\{M_i\}$ of non compact finite volume hyperbolic $3$ -manifolds whose kissing number grows at least as $\mathrm{vol}(M_i)^{\frac{31}{27}-\epsilon}$ for any $\epsilon>0$ . This extends a previous result due to Schmutz in dimension $2$ .

Keywords

hyperbolic 3-manifolds

Cite

@article{arxiv.2003.01863,
  title  = {Hyperbolic 3-manifolds with large kissing number},
  author = {Cayo Dória and Plinio G. P. Murillo},
  journal= {arXiv preprint arXiv:2003.01863},
  year   = {2021}
}

Comments

15 pages; introduction rewritten; includes minor corrections and update of references; to appear in Proceedings of the AMS

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