Link Splice Base: Difference between revisions
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Images -> {"BraidPart0.gif", "BraidPart1.gif", |
Images -> {"BraidPart0.gif", "BraidPart1.gif", |
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"BraidPart2.gif", "BraidPart3.gif", "BraidPart4.gif"}] *> | |
"BraidPart2.gif", "BraidPart3.gif", "BraidPart4.gif"}] *> | |
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khovanov_table = <*TabularKh[Kh[K][q, t], KnotSignature[K]+{1,-1}]*> |
khovanov_table = <*TabularKh[Kh[K][q, t], KnotSignature[K]+{1,-1}]*> |
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}} |
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computer_talk = |
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<table> |
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<tr valign=top> |
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<td><pre style="color: blue; border: 0px; padding: 0em">In[1]:= </pre></td> |
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<td align=left><pre style="color: red; border: 0px; padding: 0em"><< KnotTheory`</pre></td> |
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</tr> |
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<tr valign=top><td colspan=2><*InOut[1]; KnotTheoryWelcomeMessage[]*></td></tr> |
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<*InOut["Crossings[``]", K]*> |
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<*InOut["Length[Skeleton[``]]", K]*> |
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<*InOut["PD[``]", K]*> |
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<*InOut["GaussCode[``]", K]*> |
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<*InOut["BR[``]", K]*> |
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<*GraphicsBox[NameString[K]<>"_ML.gif", "Show[DrawMorseLink[``]]", K]*> |
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<*InOut["KnotSignature[`1`]", K]*> |
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<*InOut["J=Jones[``][q]", K]*> |
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<*InOut["A2Invariant[``][q]", K]*> |
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<*InOut["HOMFLYPT[``][a, z]", K]*> |
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<*InOut["Kauffman[``][a, z]", K]*> |
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<*InOut["Kh[``][q, t]", K]*> |
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</table> }} |
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Latest revision as of 16:11, 18 September 2005
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[[Image:Data:Link Splice Base/Previous Knot.gif|80px|link=Data:Link Splice Base/Previous Knot]] |
[[Image:Data:Link Splice Base/Next Knot.gif|80px|link=Data:Link Splice Base/Next Knot]] |
| File:Link Splice Base.gif (Knotscape image) |
See the full Thistlethwaite Link Table (up to 11 crossings).
Visit Data:Link Splice Base/KnotilusGaussCode Link Splice Base at Knotilus! |
Link Presentations
[edit Notes on Link Splice Base's Link Presentations]
| Planar diagram presentation | Data:Link Splice Base/PD Presentation |
| Gauss code | Data:Link Splice Base/Gauss Code |
| A Braid Representative | <* BraidPlot[CollapseBraid[BR[K]], Mode -> "Wiki",
Images -> {"BraidPart0.gif", "BraidPart1.gif",
"BraidPart2.gif", "BraidPart3.gif", "BraidPart4.gif"}] *>
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| A Morse Link Presentation | File:Link Splice Base ML.gif |
Polynomial invariants
Khovanov Homology
| The coefficients of the monomials are shown, along with their alternating sums (fixed , alternation over ). | Data:Link Splice Base/KhovanovTable |
| Integral Khovanov Homology
(db, data source) |
Data:Link Splice Base/Integral Khovanov Homology |
Computer Talk
Much of the above data can be recomputed by Mathematica using the package KnotTheory`. See A Sample KnotTheory` Session.
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Link Page master template (intermediate). See/edit the Link_Splice_Base (expert). Back to the top. |
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