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| Main Author: | |
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| Format: | Preprint |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1301.4745 |
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| _version_ | 1866914568034320384 |
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| author | Parker, Brett |
| author_facet | Parker, Brett |
| contents | For any stable curve $f$ in an exploded manifold, this paper constructs a family of curves $\hat f$ with universal tropical structure which contains $f$. Such a family has the property that any other family of curves containing $f$ is locally a small modification of a family which factors through $\hat f$. As such, families of curves with universal tropical structure play an important role in the analysis of the moduli stack of curves and the construction of Gromov-Witten invariants of exploded manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1301_4745 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Universal tropical structures for curves in exploded manifolds Parker, Brett Symplectic Geometry 53D45 For any stable curve $f$ in an exploded manifold, this paper constructs a family of curves $\hat f$ with universal tropical structure which contains $f$. Such a family has the property that any other family of curves containing $f$ is locally a small modification of a family which factors through $\hat f$. As such, families of curves with universal tropical structure play an important role in the analysis of the moduli stack of curves and the construction of Gromov-Witten invariants of exploded manifolds. |
| title | Universal tropical structures for curves in exploded manifolds |
| topic | Symplectic Geometry 53D45 |
| url | https://arxiv.org/abs/1301.4745 |