Stabilizations of Heegaard splittings of graph manifolds

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We show that after one stabilization, a strongly irreducible Heegaard splitting of suitably large genus of a graph manifold is isotopic to an amalgamation along a modified version of the system of canonical tori in the JSJ decomposition. As a corollary, two strongly irreducible Heegaard splittings of a graph manifold of suitably large genus are isotopic after at most one stabilization of the higher genus splitting.
53 pages, 37 figures

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Geometric Topology, 57M99

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http://salesiana.dossiersoluciones.com/handle/123456789/111459

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604116
 http://arxiv.org/abs/math/0604116

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arXiv