Limits of colored Jones invariants for the figure-eight knot and Borromean rings relate to volumes of hyperbolic cone manifolds with those links as singular sets.
Logarithmic invariants of links
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On the volume conjecture of the colored Jones invariants with arbitrary colors
Limits of colored Jones invariants for the figure-eight knot and Borromean rings relate to volumes of hyperbolic cone manifolds with those links as singular sets.