Constructs closed and aspherical manifolds with vanishing L2-Betti numbers over every field whose fundamental groups are residually torsionfree and nilpotent yet do not virtually fibre over the circle, yielding counterexamples to weakening Kielak's theorem.
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Some closed manifolds that do not fibre over the circle
Constructs closed and aspherical manifolds with vanishing L2-Betti numbers over every field whose fundamental groups are residually torsionfree and nilpotent yet do not virtually fibre over the circle, yielding counterexamples to weakening Kielak's theorem.