3 papers
math.GT2026
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.GT2026
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.DG2026
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…