The complex structure of the Teichmüller space of circle diffeomorphisms in the Zygmund smooth class
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913686963093504 |
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| author | Matsuzaki, Katsuhiko |
| author_facet | Matsuzaki, Katsuhiko |
| contents | We provide the complex Banach manifold structure for the Teichmüller space of circle diffeomorphisms whose derivatives are in the Zygmund class. This is done by showing that the Schwarzian derivative map is a holomorphic split submersion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15521 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The complex structure of the Teichmüller space of circle diffeomorphisms in the Zygmund smooth class Matsuzaki, Katsuhiko Complex Variables We provide the complex Banach manifold structure for the Teichmüller space of circle diffeomorphisms whose derivatives are in the Zygmund class. This is done by showing that the Schwarzian derivative map is a holomorphic split submersion. |
| title | The complex structure of the Teichmüller space of circle diffeomorphisms in the Zygmund smooth class |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2311.15521 |