8 citations · 10 across the 3 of their papers we have counts for
3 papers
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
Stabilizations of Heegaard splittings of graph manifolds
Ryan Derby-Talbot
We show that after one stabilization, a strongly irreducible Heegaard splitting of suitably large genus of a graph manifold is isotopic to an amalgamation along a modified version…
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…