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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.
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).
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
There’s a typo in the diagram, which I can’t change. In the centre it has
AdS/CFT-duality comactified on $\Sigma^3$
Thanks for the alert. I’ll try to dig it out and fix it.
added pointer to
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