Small 3-manifolds of large genus
Geometric Topology
2007-05-23 v1
Abstract
We prove the existence of pure braids with arbitrarily many strands which are small, i.e. they contain no closed incompressible surface in the complement which is not boundary parallel. This implies the existence of irreducible non-Haken 3-manifolds of arbitrarily high Heegaard genus.
Keywords
Cite
@article{arxiv.math/0205091,
title = {Small 3-manifolds of large genus},
author = {Ian Agol},
journal= {arXiv preprint arXiv:math/0205091},
year = {2007}
}
Comments
10 pages, 12 figures