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 “Heegaard splittings of graph manifolds.”
Genus two 3-manifolds are built from handle number one pieces.
The disjoint curve property.
Schleimer, Saul (2004)
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Non-isotopic Heegaard splittings of Seifert fibered spaces. With an appendix by R.Weidmann.
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Degree one maps between small 3-manifolds and Heegaard genus.
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Heegaard splittings and virtually Haken Dehn filling.
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Costantino, F. (2002)
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Locally unknotted spines of Heegaard splittings.
Johnson, Jesse (2005)
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Heegaard splittings of exteriors of two bridge knots.
Kobayashi, Tsuyoshi (2001)
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Heegaard splittings of the pair of solid torus and the core loop.
Chuichiro Hayashi, Koya Shimokawa (2001)
Revista Matemática Complutense
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We show that any Heegaard splitting of the pair of the solid torus (≅DxS) and its core loop (an interior point xS) is standard, using the notion of Heegaard splittings of pairs of 3-manifolds and properly imbedded graphs, which is defined in this paper.
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Masters, Joseph D., Menasco, William, Zhang, Xingru (2009)
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