Displaying similar documents to “An irreducible Heegaard diagram of the real projective 3-space P 3 .”

Genus 2 Heegaard decompositions of small Seifert manifolds

Michel Boileau, D. J. Collins, H. Zieschang (1991)

Annales de l'institut Fourier

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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.