Heegaard splittings and virtually Haken Dehn filling.
Masters, J., Menasco, W., Zhang, X. (2004)
The New York Journal of Mathematics [electronic only]
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Masters, J., Menasco, W., Zhang, X. (2004)
The New York Journal of Mathematics [electronic only]
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The genus 2 Heegaard splittings and decompositions of Seifert manifolds over 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.
Clark, Bradd (1980)
International Journal of Mathematics and Mathematical Sciences
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