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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeDec 26th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded a bunch of references <a href="https://ncatlab.org/nlab/revision/diff/Kontsevich+integral/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/Kontsevich+integral/6">v6</a>, <a href="https://ncatlab.org/nlab/show/Kontsevich+integral">current</a>

   added a bunch of references

   diff, v6, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJan 9th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to this review: * Christine Lescop, _Introduction to the Kontsevich Integral of Framed Tangles_, 2000 ([[LescopKontsevichIntegral.pdf:file]]) <a href="https://ncatlab.org/nlab/revision/diff/Kontsevich+integral/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/Kontsevich+integral/7">v7</a>, <a href="https://ncatlab.org/nlab/show/Kontsevich+integral">current</a>

   added pointer to this review:

   • Christine Lescop, Introduction to the Kontsevich Integral of Framed Tangles, 2000 (LescopKontsevichIntegral.pdf:file)

   diff, v7, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJan 12th 2020
   • (edited Jan 12th 2020)
   • PermaLink
   Author: Urs
   Format: MarkdownItexThe Kontsevich integral is a rather beautiful and canonical beast: it's "just" the Dyson formula for the holonomy of the Knizhnik-Zamolodchikov connection. The latter, in turn, is itself rather beautiful in its universal form with values in horizontal chord diagrams. This nice state of affairs didn't really come across in what we had in the entry. In an attempt to begin to improve on this, I have started a new subsection _[Definition -- On braids](https://ncatlab.org/nlab/show/Kontsevich+integral#OnBraids)_. The previous material is currently still there under _[Definition -- On knots](https://ncatlab.org/nlab/show/Kontsevich+integral#OnKnots)_, but I hope to adjust and streamline this. Since these core definitions really belong to several entries, such as also to _[[Knizhnik-Zamolodchikov connection]]_, _[[braid representation]]_ and _[[configuration space of points]]_, I'll give it a bare entry * _[[Knizhnik-Zamolodchikov-Kontsevich construction -- definition]]_ to be `!include`-ed into these related entries <a href="https://ncatlab.org/nlab/revision/diff/Kontsevich+integral/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/Kontsevich+integral/8">v8</a>, <a href="https://ncatlab.org/nlab/show/Kontsevich+integral">current</a>

   The Kontsevich integral is a rather beautiful and canonical beast: it’s “just” the Dyson formula for the holonomy of the Knizhnik-Zamolodchikov connection. The latter, in turn, is itself rather beautiful in its universal form with values in horizontal chord diagrams.

   This nice state of affairs didn’t really come across in what we had in the entry. In an attempt to begin to improve on this, I have started a new subsection Definition – On braids.

   The previous material is currently still there under Definition – On knots, but I hope to adjust and streamline this.

   Since these core definitions really belong to several entries, such as also to Knizhnik-Zamolodchikov connection, braid representation and configuration space of points, I’ll give it a bare entry

   • Knizhnik-Zamolodchikov-Kontsevich construction – definition

   to be !include-ed into these related entries

   diff, v8, current