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  1. I created a short page for chord diagram, and also added a bit of relevant information to Vassiliev invariant.

    • CommentRowNumber2.
    • CommentAuthorRichard Williamson
    • CommentTimeSep 10th 2018
    • (edited Sep 10th 2018)
    I will fix the included figures on this page shortly.
    • CommentRowNumber3.
    • CommentAuthorRichard Williamson
    • CommentTimeSep 10th 2018
    • (edited Sep 10th 2018)

    Fixed the diagrams now, hopefully. [Edit: there is something strange going on which causes the diagrams not to render correctly after an edit, but to render correctly after I re-render manually. I will look into it when I get the chance, probably this evening.]

    diff, v29, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 20th 2019
    • (edited Nov 20th 2019)

    added these pointers:

    Discussion of chord diagrams encoding SYK model correlators as representing hyperbolic/holographic content:

    • {#BINT18} Micha Berkooz, Mikhail Isachenkov, Vladimir Narovlansky, Genis Torrents, Section 5 of: Towards a full solution of the large NN double-scaled SYK model, JHEP 03 (2019) 079 (arxiv:1811.02584)

    • {#Narovlansky19} Vladimir Narovlansky, Slide 23 (of 28) of: Towards a Solution of Large NN Double-Scaled SYK, Nazareth 2019 (pdf, NarovlanskySYK19.pdf:file)


    diff, v34, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeNov 24th 2019

    In a new Properties section Relation to Chern-Simns diagrams I added pointer to chord diagrams modulo 4T are Chern-Simons diagrams modulo STU.

    No other text yet. To be expanded. But not tonight.

    diff, v37, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 29th 2019

    I have replaced the graphics illustrating a typical chord diagram (first graphics in the entry) with a new one (here) that may be a little more informative

    diff, v46, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeNov 29th 2019

    made explicit the definition of 𝒜 c\mathcal{A}^c (here)

    diff, v47, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeApr 29th 2020

    added pointer to today’s

    diff, v56, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeOct 14th 2020

    added pointer to today’s

    • Ali Assem Mahmoud, Karen Yeats, Connected Chord Diagrams and the Combinatorics of Asymptotic Expansions (arXiv:2010.06550)

    diff, v57, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeApr 23rd 2021

    added pointer to these two, which might be close to the earliest appearance of the concept of chord diagrams (?):

    diff, v58, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeMay 4th 2021
    • (edited May 4th 2021)

    there is an evident general encoding of hyperbolic tesselations by round chord diagrams.

    Is this made explicit anywhere?

    In particular, I am wondering about the following:

    It should be possible to obtain the round chord diagram for an {n,k}\{n,k\} tesselation at some finite stage by starting with a suitable horizontal chord diagram on n1n-1 strands, then iteratively “cabling” it into itself and forming vertical composites of that with itself, and finally taking the trace to a round chord diagram with a cyclic permutation.

    Is this described anywhere?

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