A note on irreducible Heegaard diagrams.

Cavicchioli, Alberto; Spaggiari, Fulvia

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Genus 2 Heegaard decompositions of small Seifert manifolds

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The genus 2 Heegaard splittings and decompositions of Seifert manifolds over $S$ with 3 exeptional fibres are classified with respect to isotopies and homeomorphisms. In general there are 3 different isotopy classes of Heegaard splittings and 6 different isotopy classes of Heegaard decompositions. Moreover, we determine when a homeomorphism class is not an isotopy class.