Laminar branched surfaces in 3--manifolds.
Li, Tao (2002)
Geometry & Topology
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Displaying similar documents to “Some examples of essential laminations in 3-manifolds”
Laminar branched surfaces in 3--manifolds.
Taut foliations of 3-manifolds and suspensions of
David Gabai (1992)
Annales de l'institut Fourier
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Let be a compact oriented 3-manifold whose boundary contains a single torus and let be a taut foliation on whose restriction to has a Reeb component. The main technical result of the paper, asserts that if is obtained by Dehn filling along any curve not parallel to the Reeb component, then has a taut foliation.
An algorithm to detect laminar 3-manifolds.
Agol, Ian, Li, Tao (2003)
Geometry & Topology
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On iterated torus knots and transversal knots.
Menasco, William W. (2001)
Geometry & Topology
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Notes on tiled incompressible tori
Leonid Plachta (2012)
Open Mathematics
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Let Θ denote the class of essential tori in a closed braid complement which admit a standard tiling in the sense of Birman and Menasco [Birman J.S., Menasco W.W., Special positions for essential tori in link complements, Topology, 1994, 33(3), 525–556]. Moreover, let R denote the class of thin tiled tori in the sense of Ng [Ng K.Y., Essential tori in link complements, J. Knot Theory Ramifications, 1998, 7(2), 205–216]. We define the subclass B ⊂ Θ of typical tiled tori and show that...
Group negative curvature for 3-manifolds with genuine laminations.
Gabai, David, Kazez, William H. (1998)
Geometry & Topology
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A new algorithm for recognizing the unknot.
Birman, Joan S., Hirsch, Michael D. (1998)
Geometry & Topology
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On a proof of the JSJ theorem.
Costantino, F. (2002)
Rendiconti del Seminario Matematico
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Canonical decompositions of 3-manifolds.
Neumann, Walter D., Swarup, Gadde A. (1997)
Geometry & Topology
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Transversal torus knots.
Etnyre, John B. (1999)
Geometry & 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.