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1. • CommentRowNumber1.
   • CommentAuthorAndrew Stacey
   • CommentTimeApr 1st 2011
   • PermaLink
   Author: Andrew Stacey
   Format: MarkdownItexExpanded [[Vassiliev invariant]], started [[Kontsevich integral]], did a bit of reorganisation on [[knot theory]] (in particular, linking to more pages). In case anyone's wondering, there was a book put on the arXiv a couple of days ago touting itself as an introduction to Vassiliev invariants. I'm reading through it and taking notes as I go. I left in a bit of a rush today so the formatting of the Kontsevich integral went a bit haywire, and I made a statement on the Vassiliev invariant page that I know I didn't say quite right. In the arXiv book, Vassiliev invariants are introduced first using the [[Vassiliev skein relations]], not their "proper" way (which I haven't gotten to yet so I don't know it). The formula looked very like a boundary map on a complex, but I think it has to be a cubical complex rather than a simplicial one. Only it isn't the full boundary map, rather a partial boundary map (going to opposite faces), but I didn't get it straight in my head until later. But now I think I'm going to wait until I read the bit about the _true_ definition - which I guess will be something like this - before correcting it (unless anyone gets there before me, of course). Drew a few more SVGs relevant for knots as well. The code for producing the trefoil knot is very nice now, though I say so myself!

   Expanded Vassiliev invariant, started Kontsevich integral, did a bit of reorganisation on knot theory (in particular, linking to more pages).

   In case anyone’s wondering, there was a book put on the arXiv a couple of days ago touting itself as an introduction to Vassiliev invariants. I’m reading through it and taking notes as I go. I left in a bit of a rush today so the formatting of the Kontsevich integral went a bit haywire, and I made a statement on the Vassiliev invariant page that I know I didn’t say quite right.

   In the arXiv book, Vassiliev invariants are introduced first using the Vassiliev skein relations, not their “proper” way (which I haven’t gotten to yet so I don’t know it). The formula looked very like a boundary map on a complex, but I think it has to be a cubical complex rather than a simplicial one. Only it isn’t the full boundary map, rather a partial boundary map (going to opposite faces), but I didn’t get it straight in my head until later. But now I think I’m going to wait until I read the bit about the true definition - which I guess will be something like this - before correcting it (unless anyone gets there before me, of course).

   Drew a few more SVGs relevant for knots as well. The code for producing the trefoil knot is very nice now, though I say so myself!

2. • CommentRowNumber2.
   • CommentAuthorAndrew Stacey
   • CommentTimeApr 11th 2011
   • PermaLink
   Author: Andrew Stacey
   Format: MarkdownItexSome tidying up at [[knot group]]. Also added [[cinquefoil - SVG]] (though that's not quite the one at [[knot group]] since the latter is labelled).

   Some tidying up at knot group. Also added cinquefoil - SVG (though that’s not quite the one at knot group since the latter is labelled).

3. • CommentRowNumber3.
   • CommentAuthorjim_stasheff
   • CommentTimeApr 11th 2011
   • PermaLink
   Author: jim_stasheff
   Format: Textcinquefoil - SVG error message said it doesn't exist

   cinquefoil - SVG
   
   error message said it doesn't exist
4. • CommentRowNumber4.
   • CommentAuthorAndrew Stacey
   • CommentTimeApr 11th 2011
   • PermaLink
   Author: Andrew Stacey
   Format: MarkdownItexCorrected. It was actually [[cinquefoil knot - SVG]] that I created, but I've added a redirect to [[cinquefoil - SVG]] as well. Thanks.

   Corrected. It was actually cinquefoil knot - SVG that I created, but I’ve added a redirect to cinquefoil - SVG as well.

   Thanks.