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math.GR2025
Virtual fibring of manifolds and groups
Dawid Kielak
The topic of this survey is the phenomenon of fibring over the circle for manifolds, and its group-theoretic twin, algebraic fibring. We will discuss the state of the art, and expl…
math.GR2025
Virtual fibring of Poincaré-duality groups
Sam P. Fisher, Giovanni Italiano, Dawid Kielak
We show that a RFRS Poincaré-duality group admits a virtual epimorphism to the integers whose kernel is itself a Poincaré-duality group over every field if and only if the $L^2…