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arxiv: 0812.4476 · v1 · submitted 2008-12-24 · 🧮 math.GT

Manifolds admitting both strongly irreducible and weakly reducible minimal genus Heegaard splittings

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keywords manifoldsadmittinggenusheegaardirreducibleminimalreduciblesplittings
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We construct infinitely many manifolds admitting both strongly irreducible and weakly reducible minimal genus Heegaard splittings. Both closed manifolds and manifolds with boundary tori are constructed.

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