 | File:Listing knot.svg projection of the Listing knot 4_1
[[Category:Knot images]]
(220 × 352 (4 KB)) - 08:45, 1 May 2023 |
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...[a1]]], named by him complexions-symbol (cf. also [[Knot and link diagrams|Knot and link diagrams]]). Listing associated with every corner of a crossing a
3 KB (496 words) - 07:37, 18 March 2023
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...ed from it. The integral is defined for a knot $K$ (cf. also [[Knot theory|Knot theory]]) embedded in the three-dimensional space $ \mathbf{R} ^ { 3 } = \
10 KB (1,481 words) - 19:05, 23 January 2024
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* {{Ref|a2}} A. Kawauchi, "A survey of knot theory", Birkhäuser (1996) {{ZBL|0861.57001}}
2 KB (289 words) - 07:50, 25 November 2023
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...he Jones–Conway polynomial is usually normalized to be $1$ for the trivial knot. Then for the trivial link of $n$ components, $T _ { n }$, one gets
18 KB (2,713 words) - 05:14, 15 February 2024
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...lign="top"> K. Murasugi, "Jones polynomial and classical conjectures in knot theory" ''Topology'' , '''26''' : 2 (1987) pp. 187–194</td></tr><tr><
7 KB (1,054 words) - 07:42, 10 February 2024
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images have been replaced by TeX code, please remove this message and the {{TEX|se
...e (notably, both left and right duals) one can arrange that every oriented
knot can be read from top to bottom as a morphism <img align="absmiddle" border=
17 KB (2,633 words) - 17:42, 1 July 2020
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...nts of knots, links or three-dimensional manifolds (cf. also [[Knot theory|Knot theory]]; [[Link|Link]]; [[Three-dimensional manifold|Three-dimensional man
19 KB (2,895 words) - 17:45, 1 July 2020
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...athematical problems in|Statistical mechanics]], network reliability and [[knot theory]]: Suppose $M$ is a probabilistic matroid, i.e., each $e \in E$ has
11 KB (1,736 words) - 06:27, 15 February 2024
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...knot invariants and invariants of three-manifolds (cf. also [[Knot theory|Knot theory]]; [[Three-dimensional manifold|Three-dimensional manifold]]), [[Qua
20 KB (2,919 words) - 00:57, 15 February 2024
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...d of algebra, in which the algebraic information is expressed by braid and knot diagrams. In effect, algebraic operations are implemented by "wiring up"
21 KB (3,130 words) - 17:42, 1 July 2020
...t $h$ be the Cartan subalgebra of $8$, $H _ { i } \in \mathfrak { g }$ the images of the simple roots $\alpha _ { i } \in h ^ { * }$. Then $U _ { h } g$ is g
...the Jones polynomial [[#References|[a9]]]. More precisely, to an oriented knot $\gamma \subset R ^ { 3 }$ and a quasitriangular Hopf algebra $( A , R )$ t
17 KB (2,598 words) - 13:44, 17 October 2019
the images of the simple roots $ \alpha _{i} \in \mathfrak h ^{*} $ .
...the Jones polynomial [[#References|[a9]]]. More precisely, to an oriented knot $ \gamma \subset \mathbf R ^{3} $
18 KB (2,674 words) - 19:09, 16 December 2019
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...reduced to the study of the asphericity of labelled oriented trees. Every knot group has a labelled oriented tree presentation (the Wirtinger presentation
31 KB (4,667 words) - 17:46, 1 July 2020
...t of these ideas the laws of Alexander duality and their generalization, [[knot theory]], were obtained.
...hing but topology. Some of this persists; geometric topology ranges from [[knot theory]] (which is not at all general topology) through $3$-dimensional top
38 KB (5,626 words) - 17:15, 20 March 2018
...t work the same way as on your page (in fact the server did not render tex images at all, it just did show the source code). The mathjax script on the EoM se
...images using what I would think would be reasonable general guidelines for images
229 KB (35,434 words) - 19:24, 5 October 2023
