English

On the number of hyperbolic manifolds of complexity n

Combinatorics 2015-06-30 v2 Algebraic Topology Geometric Topology

Abstract

We consider hyperbolic manifolds with boundary, which admit an ideal triangulation with n ideal triangles and one edge. We prove that the number of these manifolds is exp(nln(n)+O(n))\exp(n\ln(n)+O(n)).

Keywords

Cite

@article{arxiv.1412.8423,
  title  = {On the number of hyperbolic manifolds of complexity n},
  author = {A. Magazinov and I. Shnurnikov},
  journal= {arXiv preprint arXiv:1412.8423},
  year   = {2015}
}