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The Chen-Yang volume conjecture for long integral fillings of fundamental shadow links

Shen, Ce
arXiv (OAI Expanded) · Papers
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geometric-topologyhigh-energy-physics-theoryquantum-algebra
We prove the Chen--Yang volume conjecture for all sufficiently long integral Dehn fillings of any fixed marked fundamental shadow-link exterior. For each fixed filling, the exponential growth of its $SO(3)$ Turaev--Viro invariants recovers its hyperbolic volume along the full sequence of odd levels.
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