Stability conditions and Teichmüller space
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866909336547098624 |
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| author | Allegretti, Dylan G. L. |
| author_facet | Allegretti, Dylan G. L. |
| contents | We consider a 3-Calabi-Yau triangulated category associated to an ideal triangulation of a marked bordered surface. Using the theory of harmonic maps between Riemann surfaces, we construct a natural map from a component of the space of Bridgeland stability conditions on this category to the enhanced Teichmüller space of the surface. We describe a relationship between the central charges of objects in the category and shear coordinates on the Teichmüller space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_07912 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Stability conditions and Teichmüller space Allegretti, Dylan G. L. Geometric Topology High Energy Physics - Theory Algebraic Geometry Differential Geometry We consider a 3-Calabi-Yau triangulated category associated to an ideal triangulation of a marked bordered surface. Using the theory of harmonic maps between Riemann surfaces, we construct a natural map from a component of the space of Bridgeland stability conditions on this category to the enhanced Teichmüller space of the surface. We describe a relationship between the central charges of objects in the category and shear coordinates on the Teichmüller space. |
| title | Stability conditions and Teichmüller space |
| topic | Geometric Topology High Energy Physics - Theory Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2112.07912 |