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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Displaying similar documents to “Heegaard splittings of exteriors of two bridge knots.”
Heegaard splittings and virtually Haken Dehn filling.
Non-isotopic Heegaard splittings of Seifert fibered spaces. With an appendix by R.Weidmann.
Bachman, David, Derby-Talbot, Ryan; (2006)
Algebraic & Geometric Topology
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Genus two 3-manifolds are built from handle number one pieces.
Sedgwick, Eric (2001)
Algebraic & Geometric Topology
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The disjoint curve property.
Schleimer, Saul (2004)
Geometry & Topology
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Tangle decompositions of satellite knots.
Chuichiro Hayashi, Hiroshi Matsuda, Makoto Ozawa (1999)
Revista Matemática Complutense
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We study when an essential tangle decomposition of a satellite knot gives an essential tangle decomposition of the companion knot, that is, when the decomposing sphere can be isotoped to intersect the knotted solid torus identified with the pattern in meridian disks.
The Heegaard genus of manifolds obtained by surgery on links and knots.
Clark, Bradd (1980)
International Journal of Mathematics and Mathematical Sciences
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Degree one maps between small 3-manifolds and Heegaard genus.
Boileau, Michel, Wang, Shicheng (2005)
Algebraic & Geometric Topology
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An unknotting theorem for tori in 4-dimensional spheres.
Akiko Shima (1998)
Revista Matemática Complutense
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Let T be a torus in S4 and T* a projection of T. If the singular set Gamma(T*) consists of one disjoint simple closed curve, then T can be moved to the standard position by an ambient isotopy of S4.
A note on irreducible Heegaard diagrams.
Cavicchioli, Alberto, Spaggiari, Fulvia (2006)
International Journal of Mathematics and Mathematical Sciences
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Heegaard splittings and virtually Haken Dehn filling. II.
Masters, Joseph D., Menasco, William, Zhang, Xingru (2009)
The New York Journal of Mathematics [electronic only]
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Locally unknotted spines of Heegaard splittings.
Johnson, Jesse (2005)
Algebraic & Geometric Topology
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On a proof of the JSJ theorem.
Costantino, F. (2002)
Rendiconti del Seminario Matematico
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