An Algorithm to Determine the Heegaard Genus of Simple 3-manifolds with Non-empty Boundary
نویسنده
چکیده
The Heegaard genus of a compact orientable 3-manifold is an important invariant. The aim of this paper is to demonstrate that it is algorithmically computable, at least when the 3-manifold is simple and has non-empty boundary. Recall that a compact orientable 3-manifold is simple if it is irreducible and any properly embedded disc, incompressible annulus or incompressible torus is boundary parallel.
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