Geometry & Topology, Vol. 8 (2004)
Paper no. 22, pages 831--876.
Heegaard splittings of graph manifolds
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.
Graph manifolds, Heegaard splitting, horizontal, vertical
AMS subject classification.
Submitted to GT on 30 June 2003.
(Revised 1 June 2004.)
Paper accepted 23 May 2004.
Paper published 2 June 2004.
Notes on file formats
Department of Mathematics
1 Shields Avenue
University of California
Davis, CA 95616, USA
GT home page
These pages are not updated anymore.
They reflect the state of
For the current production of this journal, please refer to