An algorithm to determine the Heegaard genus of simple 3-manifolds with non-empty boundary

We provide an algorithm to determine the Heegaard genus of simple 3-manifolds with non-empty boundary. More generally, we supply an algorithm to determine (up to ambient isotopy) all the Heegaard splittings of any given genus for the manifold. As a consequence, the tunnel number of a hyperbolic link...

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Bibliographic Details
Main Author: Lackenby, M
Format: Journal article
Language:English
Published: 2007