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math.GT2025
Aspherical 4-manifolds with elementary amenable fundamental group
James F. Davis, J. A. Hillman
We classify the possible elementary amenable fundamental groups of compact aspherical 4-manifolds with boundary and conclude that they are either polycyclic or solvable Baumslag- S…
math.GT2025
Aspherical manifolds with boundary
James F. Davis, J. A. Hillman
We undertake a systematic investigation of compact aspherical manifolds with boundary; motivated by the plethora of examples in the bounded case and by the beauty of the theory in…
math.GT2019★ 1 cited
Manifolds homotopy equivalent to certain torus bundles over lens spaces
James F. Davis, Wolfgang Lueck
We compute the topological simple structure set of closed manifolds which occur as total spaces of flat bundles over lens spaces S^l/(Z/p) with fiber an n-dimensjional torus T^n fo…