Knot Atlas - User contributions [en]

To Do

2005-10-22T20:57:49Z

Stavros: /* Knot Atlas issues */

* Update this To Do list.

* Set up a backup routine.
** Make sure we're backing up all the right things. In particular, httpd.conf should probably be backed up.
* Systematic updates of the executable programs (KnotTheory`, WikiLink.m, splicers). See [[:Category:Software]].

== Knot Atlas issues ==
* Link to us from relevant pages on wikipedia and elsewhere.
* Add "comment" hooks near each of the sections on the knot pages.
** Eliminate the need for "&action=purge" after editing a comments section.
* Learn some MySQL and figure how to do "bulk additions from a file" to the database. This is a 'Dror and Scott only' technique, because it requires direct database access, and in most cases we'd be better off thinking in terms of uploading via WikiLink; either command line java, or a mathematica notebook. But direct SQL may be the only way to go for loading data for, say, all 16 crossing knots.
* The right floating tables of contents in the manual don't layout properly in safari. I don't have access to safari, so can't do any testing. --[[User:Scott|Scott]] 05:08, 25 Sep 2005 (EDT)
* The "Quantum Invariants" pages have no link back to the "parent" knot page". What's worse, they are not generated in a way that allows to add such "link back" in an easy way! See e.g. [[3_1_Quantum_Invariants]].

=== Pages to write ===
# Further edit [[How you can contribute]].
# Finish [[Extending/Modifying KnotTheory`]].
# Prepare [[List of Modules in KnotTheory`]].
# Document "The A2 invariant", "The G2 invariant" and "other quantum invariants".

=== More complicated projects ===
# Identify torus knots.
## should we have an 'identify this knot' function in [[KnotTheory`]]? How to implement it?
# Clarify orientation issues, especially for links.
# Extend tables beyond 11 crossings.
# work out a sensible way to show quantum knot invariants.
# Add pages on rational knots and other classes of "special" knots.
# Add a page for "sporadic" special knots.

=== Data to include ===
# Add Tristram-Levine signatures.
# Chiral? Invertible?
# Indicate which knots are the components of given links.
# Add something about hyperbolic invariants.
# "Similar Links" using [[The Multivariable Alexander Polynomial]]; add the The Multivariable Alexander Polynomial to the simulated Mathematica sessions.

==Things to calculate==
# Compute ''HOMFLYPT'' for torus knots.
# compute Reshetikhin-Turaev invariants for everything in sight.

==KnotTheory`==
# Unite <code>DrawPD</code> and <code>BraidPlot</code> under Draw.
# Remove <code>Simplify</code> from ColouredJones.
# Custom knot drawings! Output in ps, TeX, etc.
# Browsable source code for <code>KnotTheory`</code>.

==katlas software==
* Find out if it's possible to eliminate the need for &action=purge when transcluded pages change?
* Tell people about the modifications to [[ImagePage.php]]
* Fix/improve the "disappearing transclusion" tag <nowiki><ifpageexists></nowiki>.
* Replace the "bracket" splicing model by a "templated" one.

===texvc===
# can texvc use dvi2bitmap instead of convert? might be much faster? [http://heim.ifi.uio.no/~simek/document/document.ps]
## alternatively see [http://meta.wikimedia.org/wiki/Problems_with_texvc]
## what about a cron job to randomly delete entries from mw_math, and the corresponding png's?
# Apply patches to texvc, for making transparent, font-sizes png in math mode. [http://meta.wikimedia.org/wiki/Help_talk:Formula]

==Other things==
# Add the Universal Vassiliev Invariant.
# Something about knot colouring.
# Add Ozvath-Szabo stuff.
# Make all sources public.
# Add Dowker codes for links.

==Papers to consider extracting data from==
# Extract data from Stanford's paper [http://www.maths.warwick.ac.uk/gt/GTMon4/paper23.abs.html].
# Extract data from Livingston's paper [http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-1.abs.html].
# Extract data from Rasmussen's paper, {{arXiv|math.GT/0402131}}.
# Extract data from Hikami's paper, {{arXiv|math.GT/0403224}}.
# Extract data from Stoimenow's paper, {{arXiv|math.GT/0405076}}.
# Extract data from De Wit and Links, {{arXiv|math.GT/0501224}}, and from De Wit, Ishii and Links, {{arXiv|math.GT/0405403}}.
# Extract data from Cha-Livingston's paper, {{arXiv|math.GT/0503125}}.
# Extract data from Hirasawa-Teragaito's paper, {{arXiv|math.GT/0504446}}.
# Extract data from Cimasoni-Florens' paper, {{arXiv|math.GT/0505185}}.
# Extract data from Hoste-Shanahan's paper, {{arXiv|math.GT/0505442}}.
# Extract data from Ashton-Cantarella-Piatek-Rawdon's paper, {{arXiv|math.DG/0508248}}.
# Extract A-polynomial data from Cooper-Culler-Gillet-Long-Shalen.

[[Special:Whatlinkshere&target=Template:Todo-later|Pages with the 'todo-later' template]]
[[Special:Whatlinkshere&target=Template:Todo|Pages with the 'todo' template]]

To Do

2005-10-22T20:57:29Z

Stavros: /* Knot Atlas issues */

* Update this To Do list.

* Set up a backup routine.
** Make sure we're backing up all the right things. In particular, httpd.conf should probably be backed up.
* Systematic updates of the executable programs (KnotTheory`, WikiLink.m, splicers). See [[:Category:Software]].

== Knot Atlas issues ==
* Link to us from relevant pages on wikipedia and elsewhere.
* Add "comment" hooks near each of the sections on the knot pages.
** Eliminate the need for "&action=purge" after editing a comments section.
* Learn some MySQL and figure how to do "bulk additions from a file" to the database. This is a 'Dror and Scott only' technique, because it requires direct database access, and in most cases we'd be better off thinking in terms of uploading via WikiLink; either command line java, or a mathematica notebook. But direct SQL may be the only way to go for loading data for, say, all 16 crossing knots.
* The right floating tables of contents in the manual don't layout properly in safari. I don't have access to safari, so can't do any testing. --[[User:Scott|Scott]] 05:08, 25 Sep 2005 (EDT)
* The "Quantum Invariants" pages have no link back to the "parent" knot page". What's worse, they are not generated in a way that allows to add such "link back" in an easy way! See e.e. [[3_1_Quantum_Invariants]].

=== Pages to write ===
# Further edit [[How you can contribute]].
# Finish [[Extending/Modifying KnotTheory`]].
# Prepare [[List of Modules in KnotTheory`]].
# Document "The A2 invariant", "The G2 invariant" and "other quantum invariants".

=== More complicated projects ===
# Identify torus knots.
## should we have an 'identify this knot' function in [[KnotTheory`]]? How to implement it?
# Clarify orientation issues, especially for links.
# Extend tables beyond 11 crossings.
# work out a sensible way to show quantum knot invariants.
# Add pages on rational knots and other classes of "special" knots.
# Add a page for "sporadic" special knots.

=== Data to include ===
# Add Tristram-Levine signatures.
# Chiral? Invertible?
# Indicate which knots are the components of given links.
# Add something about hyperbolic invariants.
# "Similar Links" using [[The Multivariable Alexander Polynomial]]; add the The Multivariable Alexander Polynomial to the simulated Mathematica sessions.

==Things to calculate==
# Compute ''HOMFLYPT'' for torus knots.
# compute Reshetikhin-Turaev invariants for everything in sight.

==KnotTheory`==
# Unite <code>DrawPD</code> and <code>BraidPlot</code> under Draw.
# Remove <code>Simplify</code> from ColouredJones.
# Custom knot drawings! Output in ps, TeX, etc.
# Browsable source code for <code>KnotTheory`</code>.

==katlas software==
* Find out if it's possible to eliminate the need for &action=purge when transcluded pages change?
* Tell people about the modifications to [[ImagePage.php]]
* Fix/improve the "disappearing transclusion" tag <nowiki><ifpageexists></nowiki>.
* Replace the "bracket" splicing model by a "templated" one.

===texvc===
# can texvc use dvi2bitmap instead of convert? might be much faster? [http://heim.ifi.uio.no/~simek/document/document.ps]
## alternatively see [http://meta.wikimedia.org/wiki/Problems_with_texvc]
## what about a cron job to randomly delete entries from mw_math, and the corresponding png's?
# Apply patches to texvc, for making transparent, font-sizes png in math mode. [http://meta.wikimedia.org/wiki/Help_talk:Formula]

==Other things==
# Add the Universal Vassiliev Invariant.
# Something about knot colouring.
# Add Ozvath-Szabo stuff.
# Make all sources public.
# Add Dowker codes for links.

==Papers to consider extracting data from==
# Extract data from Stanford's paper [http://www.maths.warwick.ac.uk/gt/GTMon4/paper23.abs.html].
# Extract data from Livingston's paper [http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-1.abs.html].
# Extract data from Rasmussen's paper, {{arXiv|math.GT/0402131}}.
# Extract data from Hikami's paper, {{arXiv|math.GT/0403224}}.
# Extract data from Stoimenow's paper, {{arXiv|math.GT/0405076}}.
# Extract data from De Wit and Links, {{arXiv|math.GT/0501224}}, and from De Wit, Ishii and Links, {{arXiv|math.GT/0405403}}.
# Extract data from Cha-Livingston's paper, {{arXiv|math.GT/0503125}}.
# Extract data from Hirasawa-Teragaito's paper, {{arXiv|math.GT/0504446}}.
# Extract data from Cimasoni-Florens' paper, {{arXiv|math.GT/0505185}}.
# Extract data from Hoste-Shanahan's paper, {{arXiv|math.GT/0505442}}.
# Extract data from Ashton-Cantarella-Piatek-Rawdon's paper, {{arXiv|math.DG/0508248}}.
# Extract A-polynomial data from Cooper-Culler-Gillet-Long-Shalen.

[[Special:Whatlinkshere&target=Template:Todo-later|Pages with the 'todo-later' template]]
[[Special:Whatlinkshere&target=Template:Todo|Pages with the 'todo' template]]

To Do

2005-10-22T20:56:57Z

Stavros: /* Knot Atlas issues */

* Update this To Do list.

* Set up a backup routine.
** Make sure we're backing up all the right things. In particular, httpd.conf should probably be backed up.
* Systematic updates of the executable programs (KnotTheory`, WikiLink.m, splicers). See [[:Category:Software]].

== Knot Atlas issues ==
* Link to us from relevant pages on wikipedia and elsewhere.
* Add "comment" hooks near each of the sections on the knot pages.
** Eliminate the need for "&action=purge" after editing a comments section.
* Learn some MySQL and figure how to do "bulk additions from a file" to the database. This is a 'Dror and Scott only' technique, because it requires direct database access, and in most cases we'd be better off thinking in terms of uploading via WikiLink; either command line java, or a mathematica notebook. But direct SQL may be the only way to go for loading data for, say, all 16 crossing knots.
* The right floating tables of contents in the manual don't layout properly in safari. I don't have access to safari, so can't do any testing. --[[User:Scott|Scott]] 05:08, 25 Sep 2005 (EDT)
* The "Quantum Invariants" pages have no link back to the "parent" knot page". What's worse, they are not generated in a way that allows to add such "link back" in an easy way!

=== Pages to write ===
# Further edit [[How you can contribute]].
# Finish [[Extending/Modifying KnotTheory`]].
# Prepare [[List of Modules in KnotTheory`]].
# Document "The A2 invariant", "The G2 invariant" and "other quantum invariants".

=== More complicated projects ===
# Identify torus knots.
## should we have an 'identify this knot' function in [[KnotTheory`]]? How to implement it?
# Clarify orientation issues, especially for links.
# Extend tables beyond 11 crossings.
# work out a sensible way to show quantum knot invariants.
# Add pages on rational knots and other classes of "special" knots.
# Add a page for "sporadic" special knots.

=== Data to include ===
# Add Tristram-Levine signatures.
# Chiral? Invertible?
# Indicate which knots are the components of given links.
# Add something about hyperbolic invariants.
# "Similar Links" using [[The Multivariable Alexander Polynomial]]; add the The Multivariable Alexander Polynomial to the simulated Mathematica sessions.

==Things to calculate==
# Compute ''HOMFLYPT'' for torus knots.
# compute Reshetikhin-Turaev invariants for everything in sight.

==KnotTheory`==
# Unite <code>DrawPD</code> and <code>BraidPlot</code> under Draw.
# Remove <code>Simplify</code> from ColouredJones.
# Custom knot drawings! Output in ps, TeX, etc.
# Browsable source code for <code>KnotTheory`</code>.

==katlas software==
* Find out if it's possible to eliminate the need for &action=purge when transcluded pages change?
* Tell people about the modifications to [[ImagePage.php]]
* Fix/improve the "disappearing transclusion" tag <nowiki><ifpageexists></nowiki>.
* Replace the "bracket" splicing model by a "templated" one.

===texvc===
# can texvc use dvi2bitmap instead of convert? might be much faster? [http://heim.ifi.uio.no/~simek/document/document.ps]
## alternatively see [http://meta.wikimedia.org/wiki/Problems_with_texvc]
## what about a cron job to randomly delete entries from mw_math, and the corresponding png's?
# Apply patches to texvc, for making transparent, font-sizes png in math mode. [http://meta.wikimedia.org/wiki/Help_talk:Formula]

==Other things==
# Add the Universal Vassiliev Invariant.
# Something about knot colouring.
# Add Ozvath-Szabo stuff.
# Make all sources public.
# Add Dowker codes for links.

==Papers to consider extracting data from==
# Extract data from Stanford's paper [http://www.maths.warwick.ac.uk/gt/GTMon4/paper23.abs.html].
# Extract data from Livingston's paper [http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-1.abs.html].
# Extract data from Rasmussen's paper, {{arXiv|math.GT/0402131}}.
# Extract data from Hikami's paper, {{arXiv|math.GT/0403224}}.
# Extract data from Stoimenow's paper, {{arXiv|math.GT/0405076}}.
# Extract data from De Wit and Links, {{arXiv|math.GT/0501224}}, and from De Wit, Ishii and Links, {{arXiv|math.GT/0405403}}.
# Extract data from Cha-Livingston's paper, {{arXiv|math.GT/0503125}}.
# Extract data from Hirasawa-Teragaito's paper, {{arXiv|math.GT/0504446}}.
# Extract data from Cimasoni-Florens' paper, {{arXiv|math.GT/0505185}}.
# Extract data from Hoste-Shanahan's paper, {{arXiv|math.GT/0505442}}.
# Extract data from Ashton-Cantarella-Piatek-Rawdon's paper, {{arXiv|math.DG/0508248}}.
# Extract A-polynomial data from Cooper-Culler-Gillet-Long-Shalen.

[[Special:Whatlinkshere&target=Template:Todo-later|Pages with the 'todo-later' template]]
[[Special:Whatlinkshere&target=Template:Todo|Pages with the 'todo' template]]

Template:Coloured Jones

2005-10-22T20:48:02Z

Stavros: /* The Coloured Jones Polynomials */

<div style="border: solid pink 1px">
=== The Coloured Jones Polynomials ===
{| align=center style="border: solid purple 1px" width=98%
|- align=center
! <math>n</math> 
![[The Coloured Jones Polynomials]] (in the <math>n+1</math>-dimensional representation of <math>sl(2)</math>)
|- align=center
{{If defined call2|{{{J2}}}|Coloured Jones Table Row|2|{{{J2}}}}}
{{If defined call2|{{{J3}}}|Coloured Jones Table Row|3|{{{J3}}}}}
{{If defined call2|{{{J4}}}|Coloured Jones Table Row|4|{{{J4}}}}}
{{If defined call2|{{{J5}}}|Coloured Jones Table Row|5|{{{J5}}}}}
{{If defined call2|{{{J6}}}|Coloured Jones Table Row|6|{{{J6}}}}}
{{If defined call2|{{{J7}}}|Coloured Jones Table Row|7|{{{J7}}}}}
|}
</div>

Notes for 8 17's three dimensional invariants

2005-10-22T20:33:20Z

Stavros:

[[8_17]] is the first negatively amphicheiral knot in the [[Rolfsen Table]]. Namely, it is equal to the inverse of its mirror, yet it is different from both its inverse and its mirror.