Higher complex structures
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2018
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| Subjects: | |
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| _version_ | 1866916826950139904 |
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| author | Fock, Vladimir V. Thomas, Alexander |
| author_facet | Fock, Vladimir V. Thomas, Alexander |
| contents | We introduce and analyze a new geometric structure on topological surfaces generalizing the complex structure. To define this so called higher complex structure we use the punctual Hilbert scheme of the plane. The moduli space of higher complex structures is defined and is shown to be a generalization of the classical Teichmüller space. We give arguments for the conjectural isomorphism between the moduli space of higher complex structures and Hitchin's component. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1812_11199 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Higher complex structures Fock, Vladimir V. Thomas, Alexander Differential Geometry Mathematical Physics We introduce and analyze a new geometric structure on topological surfaces generalizing the complex structure. To define this so called higher complex structure we use the punctual Hilbert scheme of the plane. The moduli space of higher complex structures is defined and is shown to be a generalization of the classical Teichmüller space. We give arguments for the conjectural isomorphism between the moduli space of higher complex structures and Hitchin's component. |
| title | Higher complex structures |
| topic | Differential Geometry Mathematical Physics |
| url | https://arxiv.org/abs/1812.11199 |