8 19 Further Notes and Views: Difference between revisions

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[[8_19]] is the first non-homologically thin knot in the Rolfsen table. (That is, it's the first knot whose Khovanov homology has 'off-diagonal' elements.)
[[8_19]] is the first non-homologically thin knot in the Rolfsen table. (That is, it's the first knot whose Khovanov homology has 'off-diagonal' elements.)

{|
|- valign=top
{{Knot View Template|
image = 8-19-knotscape.png|
text = Knotscape}}
|
{{Knot View Template|
image = 8crossing-symmetrical-nonalternating.png|
text = Symmetrical form ; (3,4) torus knot}}
|
{{Knot View Template|
image = Trueloversknot.jpg|
text = True-lover's knot with sticked free ends }}
|
{{Knot View Template|
image = Pkamiejfilefkplj.png|
text = Equal to the previous, from knotilus }}
|- valign=top
{{Knot View Template|
image = 1,-2,3,4,-5,-1,2,-3,6,-7,8,5,-4,-6,7,-8.png|
text = Pretzel knot P(2,-3,-3) }}
|
{{Knot View Template|
image = logo-forumdelentrepreneuriat.png|
text = French logo }}
|
{{Knot View Template|
image = IMG 20180618 140044.jpg|
text = Seen in Singapore }}


|}

Latest revision as of 22:57, 17 December 2020

8_19 is the first non-homologically thin knot in the Rolfsen table. (That is, it's the first knot whose Khovanov homology has 'off-diagonal' elements.)

Knotscape
Symmetrical form ; (3,4) torus knot
True-lover's knot with sticked free ends
Equal to the previous, from knotilus
Pretzel knot P(2,-3,-3)
French logo
Seen in Singapore