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Reducing heegaard splittings

1987; Elsevier BV; Volume: 27; Issue: 3 Linguagem: Inglês

10.1016/0166-8641(87)90092-7

1879-3207

Andrew Casson, C. McA. Gordon,

Homotopy and Cohomology in Algebraic Topology

If a Heegaard splitting of a nonsufficiently large 3-manifold has the property that there exist essential disks, one in each of the two Heegaard handlebodies, whose boundaries are disjoint, then the splitting is reducible.