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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 6th 2015
    • (edited Nov 6th 2015)

    added rough statement of the general volume conjecture (here), just so that I could point to

    which seems to be regarded as a landmark result.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 12th 2018
    • (edited Sep 12th 2018)

    added this:


    A conceptual explanation of the volume conjecture was proposed in

    (but it seems that as a sketch or strategy for a rigorous proof, it didn’t catch on).


    diff, v10, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 21st 2019

    have added more reference and more citation data, adjusted and slightly expanded the text, and added more cross-links

    diff, v12, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMay 22nd 2019
    • (edited May 22nd 2019)

    added pointer also to the SU(n)SU(n)-version of the conjecture. This made me re-label the subsections for the different variants to something more informative, and this in turn made me add a general Idea-statement before diving into the special cases

    diff, v14, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 22nd 2019

    after two hours of literature search, it looks like my idea for how to attack the volume conjecture has already been explored, Gang-Kim-Lee 14, 3.2

    diff, v15, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeSep 30th 2019
    • (edited Sep 30th 2019)

    Added a diagram (here) which illustrates the proposed proof/explanation to the volume conjecture by the combination of AdS/CFT with 3d/3d duality applied to M5-branes wrapped on hyperbolic 3-manifolds.

    diff, v18, current

    • CommentRowNumber7.
    • CommentAuthorDavid_Corfield
    • CommentTimeDec 12th 2019

    There’s a typo in the diagram, which I can’t change. In the centre it has

    AdS/CFT-duality comactified on Σ 3\Sigma^3

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeDec 12th 2019

    Thanks for the alert. I’ll try to dig it out and fix it.

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeDec 18th 2019

    added pointer to

    • Tudor Dimofte, Section 4.1 of: Perturbative and nonperturbative aspects of complex Chern-Simons Theory, Journal of Physics A: Mathematical and Theoretical, Volume 50, Number 44 (arXiv:1608.02961)

    diff, v19, current

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