✦ LIBER ✦

Local detection of strongly irreducible Heegaard splittings

✍ Scribed by Martin Scharlemann

Book ID: 104295321
Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 932 KB
Volume: 90
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00184-3

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✦ Synopsis

Let S be a Heegaard splitting surface of a compact orientable 3-manifold M. If S is strongly irreducible, the manner in which it can intersect a ball or a solid torus in M is very constrained and the allowable configurations are simple and useful. Splitting surfaces not conforming to these simple local pictures must be weakly reducible.

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