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Visit [http://www.math.toronto.edu/~drorbn/KAtlas/Links/{{{n}}}{{{t}}}{{{k}}}.html {{PAGENAME}}'s page] at the original [http://www.math.toronto.edu/~drorbn/KAtlas/index.html Knot Atlas]! |
Visit [http://www.math.toronto.edu/~drorbn/KAtlas/Links/{{{n}}}{{{t}}}{{{k}}}.html {{PAGENAME}}'s page] at the original [http://www.math.toronto.edu/~drorbn/KAtlas/index.html Knot Atlas]! |
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<ifpageexists>{{:{{PAGENAME}} Quick Notes}}</ifpageexists> |
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{{:{{PAGENAME}} Further Notes and Views}} |
[{{SERVER}}{{localurl:{{PAGENAME}} Further Notes and Views|action=edit}} edit or add notes] |
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<ifpageexists>{{:{{PAGENAME}} Further Notes and Views}}</ifpageexists> |
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Revision as of 20:35, 30 August 2005
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[[Image:Data:Link Page/Previous Knot.gif|80px|link=Data:Link Page/Previous Knot]] |
[[Image:Data:Link Page/Next Knot.gif|80px|link=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! |
| valign="top" edit or add a short note
<ifpageexists>Link Page Quick Notes</ifpageexists> |
edit or add notes <ifpageexists>Link Page Further Notes and Views</ifpageexists>
Knot presentations
| Planar diagram presentation | Data:Link Page/PD Presentation |
| Gauss code | Data:Link Page/Gauss Code |
| A Morse Link Presentation | File:Link Page ML.gif |
Polynomial invariants
Vassiliev invariants
| V2 and V3: | (Data:Link Page/V 2, Data:Link Page/V 3) |
| V2,1 through V6,9: |
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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. |
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