Template:Link Page

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Contents

File:Link Page.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit Data:Link Page/KnotilusGaussCode Link Page at Knotilus!


Link Presentations

[edit Notes on Link Page's Link Presentations]

Planar diagram presentation Data:Link Page/PD Presentation
Gauss code Data:Link Page/Gauss Code
A Braid Representative {{{braid_table}}}
A Morse Link Presentation File:Link Page ML.gif

Polynomial invariants

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

Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Link Page master template (intermediate).

See/edit the Link_Splice_Base (expert).

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