Lifted Heegaard Surfaces and Virtually Haken Manifolds

Details Lifted Heegaard Surfaces and Virtually Haken Manifolds Lifted Heegaard Surfaces and Virtually Haken Manifolds

2010-01-29

arxiv.org/abs/1001.5306v1

Mathematics

Geometric Topology

27 pages, 34 figures

Scientific paper

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].

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