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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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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Constructs infinitely many quasi-isometry classes of hyperbolic groups of cohomological dimension d≥3 that algebraically fibre with finitely presented kernel as finite-index subgroups of right-angled Coxeter groups.
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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.
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Improved algebraic fibrations of high-dimensional hyperbolic groups
Constructs infinitely many quasi-isometry classes of hyperbolic groups of cohomological dimension d≥3 that algebraically fibre with finitely presented kernel as finite-index subgroups of right-angled Coxeter groups.