Non-orientable minimal limit volume conjecture

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Let V8V_8 denote the volume of the regular ideal octahedron, and consider non-orientable hyperbolic 33-manifolds with increasingly many cusps.

Non-orientable minimal limit volume conjecture. The minimal limit volume of non-orientable hyperbolic 33-manifolds is V8V_8.

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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