Mazur manifolds and symplectic structures
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866916013380993024 |
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| author | Cavallo, Alberto |
| author_facet | Cavallo, Alberto |
| contents | 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 our results imply the existence of exotic pairs of simply connected 4-manifolds, with definite intersection form, whose boundary is $Y$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15095 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mazur manifolds and symplectic structures Cavallo, Alberto Geometric Topology Symplectic Geometry 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 our results imply the existence of exotic pairs of simply connected 4-manifolds, with definite intersection form, whose boundary is $Y$. |
| title | Mazur manifolds and symplectic structures |
| topic | Geometric Topology Symplectic Geometry |
| url | https://arxiv.org/abs/2605.15095 |