most citedDegeneration of Heegaard genus, a survey

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math.GT2006★ 8 cited

Degeneration of Heegaard genus, a survey

David Bachman, Ryan Derby-Talbot

We survey known (and unknown) results about the behavior of Heegaard genus of 3-manifolds constructed via various gluings. The constructions we consider are (1) gluing together two…

math.GT2006★ 1 cited

Stabilizing Heegaard splittings of toroidal 3-manifolds

Ryan Derby-Talbot

Let be a separating incompressible torus in a 3-manifold . Assuming that a genus Heegaard splitting can be positioned nicely with respect to (e.g. $V \c…