Mihail Arabadji

collaborators

3 papers

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

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…

math.GT2023

Nielsen realization in dimension four and projective twists

Mihail Arabadji, R. Inanc Baykur

We demonstrate the existence of numerous non-spin 4-manifolds for which the smooth Nielsen realization problem fails; namely, there exist finite subgroups of their mapping class gr…