Displaying similar documents to “Heegaard diagrams and surgery descriptions for twisted face-pairing 3-manifolds.”

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 ∩ K | ≥ 2 over all isotopies of K in S 3 - ∂ Δ . Let K Δ , n ( ⊂ 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.

Algebraic tools for the construction of colored flows with boundary constraints

Marius Dorkenoo, Marie-Christine Eglin-Leclerc, Eric Rémila (2004)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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We give a linear time algorithm which, given a simply connected figure of the plane divided into cells, whose boundary is crossed by some colored inputs and outputs, produces non-intersecting directed flow lines which match inputs and outputs according to the colors, in such a way that each edge of any cell is crossed by at most one line. The main tool is the notion of height function, previously introduced for tilings. It appears as an extension of the notion of potential of a flow...