Geometry & Topology
- Geom. Topol.
- Volume 8, Number 2 (2004), 831-876.
Heegaard splittings of graph manifolds
Let be a totally orientable graph manifold with characteristic submanifold and let be a Heegaard splitting. We prove that is standard. In particular, is the amalgamation of strongly irreducible Heegaard splittings. The splitting surfaces of these strongly irreducible Heegaard splittings have the property that for each vertex manifold of , is either horizontal, pseudohorizontal, vertical or pseudovertical.
Geom. Topol., Volume 8, Number 2 (2004), 831-876.
Received: 30 June 2003
Revised: 1 June 2004
Accepted: 23 May 2004
First available in Project Euclid: 21 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57N10: Topology of general 3-manifolds [See also 57Mxx]
Secondary: 57N25: Shapes [See also 54C56, 55P55, 55Q07]
Schultens, Jennifer. Heegaard splittings of graph manifolds. Geom. Topol. 8 (2004), no. 2, 831--876. doi:10.2140/gt.2004.8.831. https://projecteuclid.org/euclid.gt/1513883418