James F. Davis

collaborators

4 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.DG2025

Characteristic tensors for almost Finsler manifolds

James F. Davis, Benjamin R. Edwards, Alan Kostelecky

Almost Finsler manifolds and partial Finsler manifolds are introduced, extending the standard definition of a Finsler manifold to allow for a nontrivial slit containing points fixe…

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…

Aspherical PD4​-pairs

Characteristic tensors for almost Finsler manifolds

Aspherical 4-manifolds with elementary amenable fundamental group

Aspherical manifolds with boundary

Aspherical $P D_{4}$ -pairs