The RFRS hyperbolic virtual fibring conjecture
The RFRS hyperbolic virtual fibring conjecture
A finite-volume hyperbolic manifold is a quotient of real hyperbolic space by a group of isometries acting freely and properly discontinuously. RFRS hyperbolic virtual fibring conjecture. Every finite-volume hyperbolic manifold of odd dimension whose fundamental group is RFRS is virtually fibred.
This is presented as a more believable special case of the broader odd-dimensional hyperbolic virtual fibring conjecture, because the RFRS condition is compatible with the known virtual-fibering methods. The source gives no resolution status.
Sources & referencesView supporting material
Primary source
Dawid Kielak, “Virtual fibring of manifolds and groups”, arXiv:2510.01805 (2025).
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