Reproduce “On the Volume Conjectures for Dehn-Filled 3-Manifolds Along Fundamental Shadow Link Complements With Big Volume” on OpenResearch
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About this paper
Yunpeng Meng, Baojun Wu, Tian Yang, Yuxuan Yang
The authors prove large-level asymptotics for Reshetikhin–Turaev invariants of hyperbolic 3-manifolds obtained by integral Dehn filling fundamental shadow link complements. They extend quantum 6j symbols and use approximate reflection symmetry to cancel problematic Fourier coefficients while preserving asymptotics. Both conjectures hold at positive odd levels when manifold volume is sufficiently close to the starting complement’s; this does not cover all fillings.
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