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Heegaard splittings of graph manifolds
2004
Geometry and Topology
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.
doi:10.2140/gt.2004.8.831
fatcat:bhwq4c5vebggte5dtvfcqkihji