The Heegaard genus of amalgamated 3-manifolds

Let M and M' be simple 3-manifolds, each with connected boundary of genus at least two. Suppose that M and M' are glued via a homeomorphism between their boundaries. Then we show that, provided the gluing homeomorphism is `sufficiently complicated', the Heegaard genus of the amalgamat...

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Bibliographic Details
Main Author: Lackenby, M
Format: Journal article
Published: Kluwer Academic Publishers 2004