Link Splice Base
From Knot Atlas
(Redirected from Link Splice Template)
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| Image:Link Splice Base.gif (Knotscape image) | See the full Thistlethwaite Link Table (up to 11 crossings).
Visit [<*KnotilusURL[K]*> Link Splice Base's page] at Knotilus. Visit <*n*><*If [AlternatingQ[K,"a","n"]*><*k*>.html Link Splice Base's page] at the original Knot Atlas. |
[edit] 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 | Image:Link Splice Base ML.gif |
[edit] Polynomial invariants
[edit] Khovanov Homology
| The coefficients of the monomials trqj are shown, along with their alternating sums χ (fixed j, alternation over r). The squares with yellow highlighting are those on the "critical diagonals", where j−2r = s + 1 or j−2r = s−1, where s = Data:Link Splice Base/Signature is the signature of Link Splice Base. Nonzero entries off the critical diagonals (if any exist) are highlighted in red. | Data:Link Splice Base/KhovanovTable |
| Integral Khovanov Homology
(db, data source) | Data:Link Splice Base/Integral Khovanov Homology |
[edit] Computer Talk
Much of the above data can be recomputed by Mathematica using the packageKnotTheory`. See A Sample KnotTheory` Session.[edit] 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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