Department of Mathematics
Heegaard splittings of graph manifolds
- Author(s): Schultens, Jennifer
- et al.
Published Web Locationhttps://arxiv.org/pdf/math/0406197.pdf
Let M be a totally orientable graph manifold with characteristic submanifold T and let M = V cup_S W be a Heegaard splitting. We prove that S is standard. In particular, S is the amalgamation of strongly irreducible Heegaard splittings. The splitting surfaces S_i of these strongly irreducible Heegaard splittings have the property that for each vertex manifold N of M, S_i cap N is either horizontal, pseudohorizontal, vertical or pseudovertical.