On iterated torus knots and transversal knots.

Menasco, William W.

Displaying similar documents to “On iterated torus knots and transversal knots.”

Transversal torus knots.

Etnyre, John B. (1999)

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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Some examples of essential laminations in 3-manifolds

Allen Hatcher (1992)

Annales de l'institut Fourier

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Families of codimension-one foliations and laminations are constructed in certain 3-manifolds, with the property that their transverse intersection with the boundary torus of the manifold consists of parallel curves whose slope varies continuously with certain parameters in the construction. The 3-manifolds are 2-bridge knot complements and punctured-torus bundles.

Taut foliations of 3-manifolds and suspensions of $S^{1}$

David Gabai (1992)

Annales de l'institut Fourier

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Let $M$ be a compact oriented 3-manifold whose boundary contains a single torus $P$ and let $ℱ$ be a taut foliation on $M$ whose restriction to $\partial M$ has a Reeb component. The main technical result of the paper, asserts that if $N$ is obtained by Dehn filling $P$ along any curve not parallel to the Reeb component, then $N$ has a taut foliation.

On transverse foliations

Atsushi Sato, Itiro Tamura (1981)

Publications Mathématiques de l'IHÉS

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Thin presentation of knots and lens spaces.

Deruelle, A., Matignon, D. (2003)

Algebraic & Geometric Topology

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A foliation of $𝐑^{3}$ and other punctured 3-manifolds by circles

Elmar Vogt (1989)

Publications Mathématiques de l'IHÉS

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Plane curve singularities and carousels

Lê Dung Tráng (2003)

Annales de l’institut Fourier

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In this paper we give a direct and explicit description of the local topological embedding of a plane curve singularity using the Puiseux expansions of its branches in a given set of coordinates.

The geometry of $R$ -covered foliations.

Calegari, Danny (2000)

Geometry & Topology

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