On Park's exotic smooth four-manifolds

TL;DR

This paper proves that the exotic simply-connected four-manifolds constructed by Park are minimal, confirming their fundamental topological property.

Contribution

It establishes the minimality of Park's exotic four-manifolds, advancing understanding of their smooth structure and topology.

Findings

Park's four-manifolds are minimal.

Confirmation of exotic smooth structures.

Advances in four-manifold topology.

Abstract

In a recent paper, Park constructs certain exotic simply-connected four-manifolds with small Euler characteristics. Our aim here is to prove that the four-manifolds in his constructions are minimal.