Genus two 3-manifolds are built from handle number one pieces.
Sedgwick, Eric (2001)
Algebraic & Geometric Topology
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Displaying similar documents to “Non-isotopic Heegaard splittings of Seifert fibered spaces. With an appendix by R.Weidmann.”
Genus two 3-manifolds are built from handle number one pieces.
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Schleimer, Saul (2004)
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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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Heegaard splittings of exteriors of two bridge knots.
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On a proof of the JSJ theorem.
Costantino, F. (2002)
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Boileau, Michel, Wang, Shicheng (2005)
Algebraic & Geometric Topology
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Heegaard splittings and virtually Haken Dehn filling. II.
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Laminar branched surfaces in 3--manifolds.
Li, Tao (2002)
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Subexponential groups in 4-manifold topology.
Krushkal, Vyacheslav S., Quinn, Frank (2000)
Geometry & Topology
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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 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.
An algorithm to detect laminar 3-manifolds.
Agol, Ian, Li, Tao (2003)
Geometry & Topology
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