Heegaard splittings of graph manifolds
Skip to main content
eScholarship
Open Access Publications from the University of California

Heegaard splittings of graph manifolds

  • Author(s): Schultens, Jennifer
  • et al.

Published Web Location

https://arxiv.org/pdf/math/0406197.pdf
No data is associated with this publication.
Abstract

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.

Item not freely available? Link broken?
Report a problem accessing this item