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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.13533 |
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| _version_ | 1866929353844064256 |
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| author | Gay-Balmaz, François Ratiu, Tudor S. Tumpach, Alice B. |
| author_facet | Gay-Balmaz, François Ratiu, Tudor S. Tumpach, Alice B. |
| contents | The restricted Siegel disc is a homogeneous space related to the connected component $T_0(1)$ of the Universal Teichmüller space via the period mapping. In this paper we show that it is a coadjoint orbit of the universal central extension of the restricted symplectic group or, equivalently, an affine coadjoint orbit of the restricted symplectic group with cocycle given by the Schwinger term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13533 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The restricted Siegel disc as coadjoint orbit Gay-Balmaz, François Ratiu, Tudor S. Tumpach, Alice B. Symplectic Geometry Functional Analysis 53D17, 70H06, 35F21, 47B99 The restricted Siegel disc is a homogeneous space related to the connected component $T_0(1)$ of the Universal Teichmüller space via the period mapping. In this paper we show that it is a coadjoint orbit of the universal central extension of the restricted symplectic group or, equivalently, an affine coadjoint orbit of the restricted symplectic group with cocycle given by the Schwinger term. |
| title | The restricted Siegel disc as coadjoint orbit |
| topic | Symplectic Geometry Functional Analysis 53D17, 70H06, 35F21, 47B99 |
| url | https://arxiv.org/abs/2405.13533 |