To Do

• Update this To Do list.

• 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.
• 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. --Scott 05:08, 25 Sep 2005 (EDT)
  • You seem to forget that both your officemates have iBooks they bring to school regularly. (as a Safari user, I can attest that this is still a problem a lot of places). Ben 17:47, 21 Nov 2005 (EST)

Pages to write

1. Further edit How you can contribute.
2. Finish Extending/Modifying KnotTheory`.
3. Prepare List of Modules in KnotTheory`.
4. Document "The A2 invariant", "The G2 invariant" and "other quantum invariants".

More complicated projects

1. Identify torus knots.
   1. should we have an 'identify this knot' function in KnotTheory`? How to implement it?
2. Clarify orientation issues, especially for links.
3. Extend tables beyond 11 crossings.
4. Add pages on rational knots and other classes of "special" knots.
5. Add a page for "sporadic" special knots.

Data to include

1. Add Tristram-Levine signatures.
2. Chiral? Invertible?
3. Indicate which knots are the components of given links.
4. Add something about hyperbolic invariants.
5. "Similar Links" using The Multivariable Alexander Polynomial; add the The Multivariable Alexander Polynomial to the simulated Mathematica sessions.
6. Decide if there's a meaningful way to display $A$-polynomials from http://www.math.uic.edu/~culler/Apolynomials. The data is all in the KnotAtlas, under "A-polynomial". (e.g. Data:8_20/A-polynomial)

Things to calculate

1. Compute HOMFLYPT for torus knots.
2. compute Reshetikhin-Turaev invariants for everything in sight.

KnotTheory`

1. Unite DrawPD and BraidPlot under Draw.
2. Remove Simplify from ColouredJones.
3. Custom knot drawings! Output in ps, TeX, etc.
4. Browsable source code for KnotTheory`.
5. Fix the In/Out numbering in Graphical Input.

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 <ifpageexists>.
• Replace the "bracket" splicing model by a "templated" one.

Wiki tricks to borrow

• Hide/show boxes such as on some Wikipedia templates.

texvc

1. can texvc use dvi2bitmap instead of convert? might be much faster? [1]
   1. alternatively see [2]
   2. what about a cron job to randomly delete entries from mw_math, and the corresponding png's?
2. Apply patches to texvc, for making transparent, font-sizes png in math mode. [3]

Other things

1. Add the Universal Vassiliev Invariant.
2. Something about knot colouring.
3. Add Ozsvath-Szabo stuff.
4. Make all sources public.
5. Add Dowker codes for links.

Papers to consider extracting data from

1. Extract data from Stanford's paper [4].
2. Extract data from Livingston's paper [5].
3. Extract data from Rasmussen's paper, arXiv:math.GT/0402131. (I think this has been done - I imported s-invariant data from KnotInfo. --Scott 02:06, 26 May 2006 (EDT))
4. Extract data from Hikami's paper, arXiv:math.GT/0403224.
5. Extract data from Stoimenow's paper, arXiv:math.GT/0405076.
6. Extract data from De Wit and Links, arXiv:math.GT/0501224, and from De Wit, Ishii and Links, arXiv:math.GT/0405403.
7. Extract data from Cha-Livingston's paper, arXiv:math.GT/0503125.
8. Extract data from Hirasawa-Teragaito's paper, arXiv:math.GT/0504446.
9. Extract data from Cimasoni-Florens' paper, arXiv:math.GT/0505185.
10. Extract data from Ashton-Cantarella-Piatek-Rawdon's paper, arXiv:math.DG/0508248.
11. Extract A-polynomial data from Cooper-Culler-Gillet-Long-Shalen.
    1. I imported the data from Culler's website. --Scott 02:14, 26 May 2006 (EDT)
12. Boundary slope data. There's Dunfield's paper, and associated program, arXiv:math.GT/9901120, and also a paper by Hoste and Shanahan arXiv:math.GT/0505442, which contains data for many two component links.

Pages with the 'todo-later' template Pages with the 'todo' template