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{{Knot Navigation Links|ext=gif}}
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| valign="top" | {{:{{PAGENAME}} Quick Notes}}
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{{:{{PAGENAME}} Further Notes and Views}}


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===Knot presentations===
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{{:{{PAGENAME}} Further Notes and Views}}

{|
|'''[[Planar Diagrams|Planar diagram presentation]]'''
|style="padding-left: 1em; word-wrap: break-word" | {{Data:{{PAGENAME}}/PD Presentation}}
|-
|'''[[Gauss Codes|Gauss code]]'''
|style="padding-left: 1em; word-wrap: break-word" | {{Data:{{PAGENAME}}/Gauss Code}}
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{{Link Presentations}}
{{Link Polynomial Invariants}}
{{Link Polynomial Invariants}}
{{Vassiliev Invariants}}
{{Vassiliev Invariants}}
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|align=left|See/edit the [[Link_Splice_Template]].
|align=left|See/edit the [[Template:Link Page|Link Page]] template.

See/edit the [[Link_Splice__Base]].

Back to the [[#top|top]].
|align=right|{{Knot Navigation Links|ext=gif}}
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{| width=100%
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|align=left|See/edit the [[Template]].


Back to the [[#top|top]].
Back to the [[#top|top]].

Revision as of 21:10, 30 August 2005

[[Image:Data:Link Page/Previous Knot.gif|80px|link=Data:Link Page/Previous Knot]]

[[Data:Link Page/Previous Knot]]

[[Image:Data:Link Page/Next Knot.gif|80px|link=Data:Link Page/Next Knot]]

[[Data:Link Page/Next Knot]]

File:Link Page.gif Visit [{{{KnotilusURL}}} Link Page's page] at Knotilus!

Visit Link Page's page at the original Knot Atlas!

Link Page Quick Notes

Link Page Further Notes and Views


Knot presentations

Planar diagram presentation Data:Link Page/PD Presentation
Gauss code Data:Link Page/Gauss Code

Vassiliev invariants

V2 and V3: (Data:Link Page/V 2, Data:Link Page/V 3)
V2,1 through V6,9:
V2,1 V3,1 V4,1 V4,2 V4,3 V5,1 V5,2 V5,3 V5,4 V6,1 V6,2 V6,3 V6,4 V6,5 V6,6 V6,7 V6,8 V6,9
Data:Link Page/V 2,1 Data:Link Page/V 3,1 Data:Link Page/V 4,1 Data:Link Page/V 4,2 Data:Link Page/V 4,3 Data:Link Page/V 5,1 Data:Link Page/V 5,2 Data:Link Page/V 5,3 Data:Link Page/V 5,4 Data:Link Page/V 6,1 Data:Link Page/V 6,2 Data:Link Page/V 6,3 Data:Link Page/V 6,4 Data:Link Page/V 6,5 Data:Link Page/V 6,6 Data:Link Page/V 6,7 Data:Link Page/V 6,8 Data:Link Page/V 6,9

V2,1 through V6,9 were provided by Petr Dunin-Barkowski <barkovs@itep.ru>, Andrey Smirnov <asmirnov@itep.ru>, and Alexei Sleptsov <sleptsov@itep.ru> and uploaded on October 2010 by User:Drorbn. Note that they are normalized differently than V2 and V3.

Khovanov Homology

The coefficients of the monomials are shown, along with their alternating sums (fixed , alternation over ). The squares with yellow highlighting are those on the "critical diagonals", where or , where Data:Link Page/Signature is the signature of Link Page. Nonzero entries off the critical diagonals (if any exist) are highlighted in red.    Data:Link Page/KhovanovTable
Integral Khovanov Homology

(db, data source)

   Data:Link Page/Integral Khovanov Homology

Computer Talk

Much of the above data can be recomputed by Mathematica using the package KnotTheory`. See A Sample KnotTheory` Session. {{{computer_talk}}}

See/edit the Link Page template.

See/edit the Link_Splice__Base.

Back to the top.

[[Image:Data:Link Page/Previous Knot.gif|80px|link=Data:Link Page/Previous Knot]]

[[Data:Link Page/Previous Knot]]

[[Image:Data:Link Page/Next Knot.gif|80px|link=Data:Link Page/Next Knot]]

[[Data:Link Page/Next Knot]]

See/edit the Template.

Back to the top.

[[Image:Data:Link Page/Previous Knot.gif|80px|link=Data:Link Page/Previous Knot]]

[[Data:Link Page/Previous Knot]]

[[Image:Data:Link Page/Next Knot.gif|80px|link=Data:Link Page/Next Knot]]

[[Data:Link Page/Next Knot]]

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