Quantum hyperbolic Dehn-filling convergence conjecture
Let be a cusped manifold, and let be a sequence of compact hyperbolic Dehn fillings of converging geometrically to , where consists of the simple short geodesics forming the filling cores and is the holonomy of . Quantum hyperbolic Dehn-filling convergence conjecture. For every fixed , as ,
This conjecture proposes continuity of the quantum hyperbolic invariant under geometric convergence of hyperbolic Dehn fillings. The supplied source gives no evidence that it has been resolved.
References
Primary source
S. Baseilhac and R. Benedetti, “Quantum Hyperbolic Invariants Of 3-Manifolds With PSL(2,C)-Characters”, arXiv:math/0306280 (2003).
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