Lifted Heegaard Surfaces and Virtually Haken Manifolds
Geometric Topology
2010-02-01 v1
Abstract
In this paper, we give infinitely many non-Haken hyperbolic genus three 3-manifolds each of which has a finite cover whose induced Heegaard surface from some genus three Heegaard surface of the base manifold is reducible but can be compressed into an incompressible surface. This result supplements [CG] and extends [MMZ].
Keywords
Cite
@article{arxiv.1001.5306,
title = {Lifted Heegaard Surfaces and Virtually Haken Manifolds},
author = {Yu Zhang},
journal= {arXiv preprint arXiv:1001.5306},
year = {2010}
}
Comments
27 pages, 34 figures