Porter Morgan

activity

20232026

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3 papers · 1 filter

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 $π_{1}$ and even intersection forms which are irreducible, meaning they do not decompose into non-trivial connected sums. Their intersect…

math.GT2025

On nonorientable $4$ --manifolds

R. İnanç 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

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 $σ$ . We show that if $R$ has order two $π_{1}$ , odd intersection…

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

On nonorientable 4--manifolds

Geography of irreducible 4-manifolds with order two fundamental group

On nonorientable $4$ --manifolds