On the geography and botany of irreducible nonspin 4-manifolds with abelian fundamental group

TL;DR

This paper investigates the classification and properties of nonspin 4-manifolds with abelian fundamental groups, focusing on their geography and botany aspects.

Contribution

It provides new insights into the structure and classification of these 4-manifolds, expanding understanding of their smooth and symplectic types.

Findings

Characterization of the geography of such 4-manifolds

New classifications in the botany of these manifolds

Insights into the relationship between fundamental group and manifold structure

Abstract

The geography and botany of smooth/symplectic nonspin 4-manifolds with abelian fundamental group are addressed.