Parity condition for irreducibility of Heegaard splittings

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Casson and Gordon gave the rectangle condition for strong irreducibility of Heegaard splittings [1]. We give a parity condition for irreducibility of Heegaard splittings of irreducible manifolds. As an application, we give examples of non-stabilized Heegaard splittings by doing a single Dehn twist.
The paper is totally rewritten. The title has been changed. 9 pages, 5 figures

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Geometric Topology, 57N10

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http://salesiana.dossiersoluciones.com/handle/123456789/218464

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.0225
 http://arxiv.org/abs/0812.0225

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arXiv