4 papers · 1 filter
Irreducible 4-manifolds with order two fundamental group and even intersection form
Mihail Arabadji, Porter Morgan
We construct smooth manifolds with order two and even intersection forms which are irreducible, meaning they do not decompose into non-trivial connected sums. Their intersect…
On nonorientable --manifolds
R. İnanç Baykur, Porter Morgan
We present several structural results on closed, nonorientable, smooth --manifolds, extending analogous results and machinery for the orientable case. We prove the existence of…
Geography of irreducible 4-manifolds with order two fundamental group
Mihail Arabadji, Porter Morgan
Let be a closed, oriented topological 4-manifold whose Euler characteristic and signature are denoted by and . We show that if has order two , odd intersection…
Belted sum decompositions of fully augmented links
Porter Morgan, Brian Ransom, Dean Spyropoulos +2
Given two orientable, cusped hyperbolic 3-manifolds containing certain thrice-punctured spheres, Adams gave a diagrammatic definition for a third such manifold, their belted sum. F…