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math.GT2025
3-manifolds with more than one abelian embedding
Jonathan A. Hillman
We construct 3-manifolds which have at least two inequivalent embeddings such that both complementary regions have abelian fundamental group.
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…