Porter Morgan

collaborators

3 papers

math.GT2026

On nonorientable $4$ --manifolds

R. Ä°nanÃ§ Baykur, Porter Morgan

We present several structural results on closed, nonorientable, smooth $4$ --manifolds, extending analogous results and machinery for the orientable case. We prove the existence of…

math.GT2025

Irreducible 4-manifolds with order two fundamental group and even intersection form

Mihail Arabadji, Porter Morgan

We construct smooth manifolds with order two $I ¨ _{1}$ and even intersection forms which are irreducible, meaning they do not decompose into non-trivial connected sums. Their intersec…

math.GT2025

Geography of irreducible 4-manifolds with order two fundamental group

Mihail Arabadji, Porter Morgan

Let $R$ be a closed, oriented topological 4-manifold whose Euler characteristic and signature are denoted by $e$ and $I ¨ $ . We show that if $R$ has order two $I ¨ _{1}$ , odd intersectio…

On nonorientable 4--manifolds

Irreducible 4-manifolds with order two fundamental group and even intersection form

Geography of irreducible 4-manifolds with order two fundamental group

On nonorientable $4$ --manifolds