Template:Link Page: Difference between revisions

Revision as of 17:29, 2 September 2005

File:Link Page.gif (Knotscape image)	Visit [{{{KnotilusURL}}} Link Page's page] at Knotilus! Visit Link Page's page at the original Knot Atlas!
	Edit Link Page Quick Notes <ifpageexists>Link Page Quick Notes</ifpageexists>

Planar diagram presentation	Data:Link Page/PD Presentation
Gauss code	Data:Link Page/Gauss Code
A Braid Representative (for some knots you may need a wide browser window!)	{{{braid_table}}}
A Morse Link Presentation	File:Link Page ML.gif

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)

The coefficients of the monomials

t^{r}q^{j}

are shown, along with their alternating sums

\chi

(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 Page/Signature is the signature of Link Page. Nonzero entries off the critical diagonals (if any exist) are highlighted in red.

Much of the above data can be recomputed by Mathematica using the package KnotTheory`. See A Sample KnotTheory` Session. {{{computer_talk}}}

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.

@@ Line 21: / Line 21: @@
 {|
+|- valign=top
 |'''[[Planar Diagrams|Planar diagram presentation]]'''
 |style="padding-left: 1em; word-wrap:  break-word" | {{Data:{{PAGENAME}}/PD Presentation}}
+|- valign=top
-|-
 |'''[[Gauss Codes|Gauss code]]'''
 |style="padding-left: 1em; word-wrap:  break-word" | {{Data:{{PAGENAME}}/Gauss Code}}
+|- valign=top
-|-
+|'''[[Braid Representatives|A Braid Representative]]'''
+<font size=-2>(for some knots you may need a wide browser window!)</font>
+|style="padding-left: 1em;" | {{{braid_table}}}
+|- valign=top
 |'''[[Lightly_Documented_Features|A Morse Link Presentation]]'''
 |style="padding-left: 1em;" | [[Image:{{PAGENAME}}_ML.gif]]