Mazur manifolds and symplectic structures

Alberto Cavallo

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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 $\Sigma(2,3,13),$ $\Sigma(2,5,7)$ and $\Sigma(3,4,5)$. Furthermore, we describe how our results imply the existence of exotic pairs of simply connected 4-manifolds, with definite intersection form, whose boundary is $Y$.

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Alberto Cavallo. 2026-05-14. Mazur manifolds and symplectic structures. https://arxiv.org/abs/2605.15095

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