Twisted scalar curvature as a moment map
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866917223494320128 |
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| author | Dervan, Ruadhaí Murphy, Thomas Ross, Julius Sektnan, Lars Martin Wang, Xiaowei |
| author_facet | Dervan, Ruadhaí Murphy, Thomas Ross, Julius Sektnan, Lars Martin Wang, Xiaowei |
| contents | We develop the moment map theory of the twisted scalar curvature of a Kähler metric. Primarily, we introduce a coupled system of equations on a holomorphic submersion intertwining the twisted scalar curvature of a Kähler metric on the base and the fibrewise scalar curvature of a relatively Kähler metric on the total space. This resulting system can be viewed as producing the natural coupled metric geometry of holomorphic submersions, and we show that this system appears canonically as a moment map. The approach generalises to foliations, where we prove similar results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18141 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Twisted scalar curvature as a moment map Dervan, Ruadhaí Murphy, Thomas Ross, Julius Sektnan, Lars Martin Wang, Xiaowei Differential Geometry Symplectic Geometry 53D20, 53C55, 53C12 We develop the moment map theory of the twisted scalar curvature of a Kähler metric. Primarily, we introduce a coupled system of equations on a holomorphic submersion intertwining the twisted scalar curvature of a Kähler metric on the base and the fibrewise scalar curvature of a relatively Kähler metric on the total space. This resulting system can be viewed as producing the natural coupled metric geometry of holomorphic submersions, and we show that this system appears canonically as a moment map. The approach generalises to foliations, where we prove similar results. |
| title | Twisted scalar curvature as a moment map |
| topic | Differential Geometry Symplectic Geometry 53D20, 53C55, 53C12 |
| url | https://arxiv.org/abs/2601.18141 |