Symplectic Classes on Elliptic Surfaces with positive Euler Number
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913071884140544 |
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| author | Dorfmeister, Josef G. Li, Tian-Jun |
| author_facet | Dorfmeister, Josef G. Li, Tian-Jun |
| contents | A key question for $4$-manifolds $M$ admitting symplectic structures is to determine which cohomology classes $α\in H^2(M,\mathbb R)$ admit a symplectic representative. The collection of all such classes, the symplectic cone $\mathcal C_M$, is a basic smooth invariant of $M$. This paper describes the symplectic cone for elliptic surfaces with positive Euler number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20940 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symplectic Classes on Elliptic Surfaces with positive Euler Number Dorfmeister, Josef G. Li, Tian-Jun Symplectic Geometry Algebraic Geometry Geometric Topology A key question for $4$-manifolds $M$ admitting symplectic structures is to determine which cohomology classes $α\in H^2(M,\mathbb R)$ admit a symplectic representative. The collection of all such classes, the symplectic cone $\mathcal C_M$, is a basic smooth invariant of $M$. This paper describes the symplectic cone for elliptic surfaces with positive Euler number. |
| title | Symplectic Classes on Elliptic Surfaces with positive Euler Number |
| topic | Symplectic Geometry Algebraic Geometry Geometric Topology |
| url | https://arxiv.org/abs/2507.20940 |