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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)

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).

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeMay 21st 2019

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

added pointer also to the $SU(n)$-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

• 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

• 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.

• 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 $\Sigma^3$

• CommentRowNumber8.
• CommentAuthorUrs
• CommentTimeDec 12th 2019

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

• CommentRowNumber9.
• CommentAuthorUrs
• CommentTimeDec 18th 2019