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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