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Knots and links in codimension greater than 2

✍ Scribed by Nathan Habegger


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
603 KB
Volume
25
Category
Article
ISSN
0040-9383

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πŸ“œ SIMILAR VOLUMES


Knots and links in spatial graphs
✍ J. H. Conway; C. McA. Gordon πŸ“‚ Article πŸ“… 1983 πŸ› John Wiley and Sons 🌐 English βš– 328 KB

## Abstract The main purpose of this paper is to show that any embedding of __K~7~__ in three‐dimensional euclidean space contains a knotted cycle. By a similar but simpler argument, it is also shown that any embedding of __K~6~__ contains a pair of disjoint cycles which are homologically linked.

Knots and Links in Certain Spatial Compl
✍ Takashi Otsuki πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 311 KB

We give a spatial representation of the complete graph K n which contains exactly ( n 6 ) Hopf links consisting of pairs of disjoint 3-cycles, where ( n 6 ) is the minimum number of pairs of disjoint 3-cycles forming a non-split link contained in any spatial representation of K n . Furthermore, we s

Realization of knots and links in a spat
✍ Kouki Taniyama; Akira Yasuhara πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 373 KB

For a graph G, let Ξ“ be either the set Ξ“ 1 of cycles of G or the set Ξ“ 2 of pairs of disjoint cycles of G. Suppose that for each Ξ³ ∈ Ξ“ , an embedding In this paper, we have the following three results: (1) For the complete graph K 5 on 5 vertices and the complete bipartite graph K 3,3 on 3 + 3 ver

Closed incompressible surfaces in comple
✍ Martin Lustig; Yoav Moriah πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 806 KB

We define the notion of wide knots (and links) and show that they contain closed incompressible nonboundary parallel surfaces in their complement. This is done by proving that these complements admit Heegaard splittings which are irreducible but weakly reducible, and using an extension of a result o

Tubed incompressible surfaces in knot an
✍ Elizabeth Finkelstein; Yoav Moriah πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 260 KB

We prove that the complements of all knots and links in S 3 which have a 2n-plat projection with absolute value of all twist coefficients bigger than 2 contain closed embedded incompressible nonboundary parallel surfaces. These surfaces are obtained from essential planar meridional surfaces by tubin