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arXiv 2010-01-29 0 views

Lifted Heegaard Surfaces and Virtually Haken Manifolds

Zhang, Yu

Original · EN

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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