Compactifications of strata of differentials
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915334058934272 |
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| author | Dozier, Benjamin |
| author_facet | Dozier, Benjamin |
| contents | In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1-forms on Riemann surfaces, i.e. spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems. We discuss relations between their definitions and properties, focusing on the different notions of convergence from a flat geometric perspective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04844 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Compactifications of strata of differentials Dozier, Benjamin Geometric Topology Algebraic Geometry Dynamical Systems In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1-forms on Riemann surfaces, i.e. spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems. We discuss relations between their definitions and properties, focusing on the different notions of convergence from a flat geometric perspective. |
| title | Compactifications of strata of differentials |
| topic | Geometric Topology Algebraic Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2401.04844 |