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Links of Mazur manifolds and exotica
[Submitted on 23 Jun 2026] · 2026-06-24 · via math updates on arXiv.org

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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 $S^4$.

Submission history

From: Sergey Nersisyan [view email]
[v1] Tue, 23 Jun 2026 07:07:38 UTC (2,915 KB)