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arXiv · 1001.5306

Lifted Heegaard Surfaces and Virtually Haken Manifolds

Yu Zhang
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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].

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Yu Zhang. 2010-01-29. Lifted Heegaard Surfaces and Virtually Haken Manifolds. https://arxiv.org/abs/1001.5306

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