Links of Mazur manifolds and exotica

Abstract

In this paper, we explore links of Mazur manifolds in simple 4-manifolds. We construct non-split 2-component links in $S^4$. These are used to produce links in $\#^n \mathbb{C} \mathbb{P}^2$ which are split topologically but not smoothly. As a consequence, we obtain exotic pairs of simply connected, definite 4-manifolds with boundary, as well as exotic embeddings of various Mazur manifolds in $S^4$.