J. Hillman

activity

20242026

collaborators

3 papers

math.GR2026

Aspherical $P D_{4}$ -pairs

James F. Davis, J. A Hillman

This is the third of three related preprints. We consider here which groups $π$ and $P D_{3}$ -complexes $Y$ are realised by $P D_{4}$ -pairs $(X, Y)$ with $X$ aspherical and $π_{1} X ≅ π$ ,…

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.GT2024

The $F_{2}$ -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 $F_{2}$ , first given by M. M. Postnikov (in terms of intersec…

Aspherical PD4​-pairs

3-manifolds with more than one abelian embedding

The F2​-cohomology rings of 3-manifolds

Aspherical $P D_{4}$ -pairs

The $F_{2}$ -cohomology rings of 3-manifolds