Link Splice Base

From Knot Atlas
(Redirected from Link Splice Template)
Jump to: navigation, search
Stop hand.png This page is a 'splice base'.
It is used to generate knot pages for each knot in a certain knot table. Be careful editting! Changes will not be reflected on individual knot pages until the 'splicer' is run again.

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

[[Data:Link Splice Base/Previous Knot]]

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

[[Data:Link Splice Base/Next Knot]]

Contents

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"}] *>
A Morse Link Presentation File:Link Splice Base ML.gif

Polynomial invariants

Multivariable Alexander Polynomial (in u, v, w, ...) Data:Link Splice Base/Multivariable Alexander (db)
Jones polynomial Data:Link Splice Base/Jones Polynomial (db)
Signature Data:Link Splice Base/Signature (db)
HOMFLY-PT polynomial Data:Link Splice Base/HOMFLYPT Polynomial (db)
Kauffman polynomial Data:Link Splice Base/Kauffman Polynomial (db)

Khovanov Homology

The coefficients of the monomials t^rq^j are shown, along with their alternating sums \chi (fixed j, alternation over r).    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.

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

[[Data:Link Splice Base/Previous Knot]]

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

[[Data:Link Splice Base/Next Knot]]