Strongly irreducible Heegaard splittings of hyperbolic 3-manifolds
Abstract
Colding and Gabai have given an effective version of Li's theorem that non-Haken hyperbolic 3-manifolds have finitely many irreducible Heegaard splittings. As a corollary of their work, we show that Haken hyperbolic 3-manifolds have a finite collection of strongly irreducible Heegaard surfaces Si and incompressible surfaces Kj such that any strongly irreducible Heegaard surface is a Haken sum Si + Σj nj Kj, up to one-sided associates of the Heegaard surfaces.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.