3-manifolds without any embedding in symplectic 4-manifolds
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866913595530412032 |
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| author | Daemi, Aliakbar Lidman, Tye Eismeier, Mike Miller |
| author_facet | Daemi, Aliakbar Lidman, Tye Eismeier, Mike Miller |
| contents | We show that there exist infinitely many closed 3-manifolds that do not embed in closed symplectic 4-manifolds, disproving a conjecture of Etnyre-Min-Mukherjee. To do this, we construct L-spaces that cannot bound positive or negative definite manifolds. The arguments use Heegaard Floer correction terms and instanton moduli spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_03631 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | 3-manifolds without any embedding in symplectic 4-manifolds Daemi, Aliakbar Lidman, Tye Eismeier, Mike Miller Geometric Topology Symplectic Geometry 57K43, 57R40, 57R57 We show that there exist infinitely many closed 3-manifolds that do not embed in closed symplectic 4-manifolds, disproving a conjecture of Etnyre-Min-Mukherjee. To do this, we construct L-spaces that cannot bound positive or negative definite manifolds. The arguments use Heegaard Floer correction terms and instanton moduli spaces. |
| title | 3-manifolds without any embedding in symplectic 4-manifolds |
| topic | Geometric Topology Symplectic Geometry 57K43, 57R40, 57R57 |
| url | https://arxiv.org/abs/2207.03631 |