Non-orientable minimal limit volume conjecture
Let denote the volume of the regular ideal octahedron, and consider non-orientable hyperbolic -manifolds with increasingly many cusps.
Non-orientable minimal limit volume conjecture. The minimal limit volume of non-orientable hyperbolic -manifolds is .
The source presents this as a further possible result following the orientable asymptotic volume conjecture. It supplies no precise definition of “minimal limit volume” or proof, so the formulation and status require verification.
References
Primary source
Ian Agol, “The minimal volume orientable hyperbolic 2-cusped 3-manifolds”, arXiv:0804.0043 (2010).
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