5 papers · 1 filter
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.
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…
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…
The -cohomology rings of 3-manifolds
Jonathan A. Hillman
We give a new argument for the characterization of the cohomology rings of closed 3-manifolds with coefficients , first given by M. M. Postnikov (in terms of intersec…
Locally flat embeddings of 3-manifolds in
J. A. Hillman
M. Freedman showed that every homology 3-sphere embeds as a locally flat submanifold of . This is in striking contrast to the state of our knowledge of smooth embeddings of ho…