The Projection Sphere

Jonathan P. Keiter

Displaying similar documents to “The Projection Sphere”

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.

The disjoint curve property.

Schleimer, Saul (2004)

Geometry & Topology

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On homotopy types of 2-dimensional polyhedra

Karol Borsuk, Anna Gmurczyk (1980)

Fundamenta Mathematicae

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Heegaard diagrams and surgery descriptions for twisted face-pairing 3-manifolds.

Cannon, J.W., Floyd, W.J., Parry, W.R. (2003)

Algebraic & Geometric Topology

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Sachs triangulations, generated by dessins d'enfant, and regular maps

Heinz-Jürgen Voss (1997)

Mathematica Slovaca

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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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Ideal triangulations of 3-manifolds II; taut and angle structures.

Kang, Ensil, Rubinstein, J.Hyam (2005)

Algebraic & Geometric Topology

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Geometric types of twisted knots

Mohamed Aït-Nouh, Daniel Matignon, Kimihiko Motegi (2006)

Annales mathématiques Blaise Pascal

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Let $K$ be a knot in the $3$ -sphere $S^{3}$ , and $Δ$ a disk in $S^{3}$ meeting $K$ transversely in the interior. For non-triviality we assume that $| Δ \cap K | \geq 2$ over all isotopies of $K$ in $S^{3} - \partial Δ$ . Let $K_{Δ, n}$ ( $\subset S^{3}$ ) be a knot obtained from $K$ by $n$ twistings along the disk $Δ$ . If the original knot is unknotted in $S^{3}$ , we call $K_{Δ, n}$ a . We describe for which pair $(K, Δ)$ and an integer $n$ , the twisted knot $K_{Δ, n}$ is a torus knot, a satellite knot or a hyperbolic knot.

Levelling an unknotting tunnel.

Goda, Hiroshi, Scharlemann, Martin, Thompson, Abigail (2000)

Geometry & Topology

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Laminar branched surfaces in 3--manifolds.

Li, Tao (2002)

Geometry & Topology

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