Non-orientable minimal limit volume conjecture

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.

Sources & referencesView supporting material

Primary source

Ian Agol, “The minimal volume orientable hyperbolic 2-cusped 3-manifolds”, arXiv:0804.0043 (2010).

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