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arXiv · 2605.15095

Mazur manifolds and symplectic structures

Alberto Cavallo
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Abstract

We use the Heegaard Floer homology cobordism maps to obstruct the existence of a symplectic structure on the Akbulut-Kirby Mazur manifolds whose boundary is a Brieskorn sphere $Y$ among $Σ(2,3,13),$ $Σ(2,5,7)$ and $Σ(3,4,5)$. Furthermore, we describe how they imply the existence of exotic pairs of simply connected 4-manifolds, with definite intersection form, whose boundary is a Brieskorn sphere bounding a Mazur manifold.

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Alberto Cavallo. 2026-09-16. Mazur manifolds and symplectic structures. https://arxiv.org/abs/2605.15095

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