Link Splice Base: Difference between revisions
No edit summary |
No edit summary |
||
| Line 6: | Line 6: | ||
<!-- The text below simply calls [[Template:Link Page]] setting the values of all the parameters appropriately. |
<!-- The text below simply calls [[Template:Link Page]] setting the values of all the parameters appropriately. |
||
<!-- This page itself was created by running [[Media:KnotPageSpliceRobot.nb]] on [[Link Splice Template]]. --> |
<!-- This page itself was created by running [[Media:KnotPageSpliceRobot.nb]] on [[Link Splice Template]]. --> |
||
<!-- <* |
<!-- <*{n,k}=Drop[List@@K,{2}];*> --> |
||
{{Link Page| |
{{Link Page| |
||
n = <*n*> | |
n = <*n*> | |
||
Revision as of 11:36, 31 August 2005
|
[[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 | {{{braid_table}}} |
| A Morse Link Presentation | File:Link Splice Base ML.gif |
Polynomial invariants
| Multivariable Alexander Polynomial (in [math]\displaystyle{ u }[/math], [math]\displaystyle{ v }[/math], [math]\displaystyle{ w }[/math], ...) | 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 [math]\displaystyle{ t^rq^j }[/math] are shown, along with their alternating sums [math]\displaystyle{ \chi }[/math] (fixed [math]\displaystyle{ j }[/math], alternation over [math]\displaystyle{ r }[/math]). | 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. |
|
