Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Discussion Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: volume conjecture

Bottom of Page

1 to 9 of 9

  1.  
    • 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

1 to 9 of 9

  1.