A unified calculation for Gromov norm of Kähler class of bounded symmetric domains
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911483428864000 |
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| author | Liu, Yuan |
| author_facet | Liu, Yuan |
| contents | We provide a unified way to calculate the Gromov norm of the Kähler class of all (compact manifolds uniformized by) bounded symmetric domains. This was done for three classical domains by Domin and Toledo and for the general case by Clerc and Ørsted. Here, the calculation is much simplified by a combination of the ideas in Domin-Toledo and a work of Toledo, with the help of the Polydisc Theorem. The equality is achieved if and only if the triangle is ideal with three vertices on the Shilov boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01572 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A unified calculation for Gromov norm of Kähler class of bounded symmetric domains Liu, Yuan Differential Geometry Primary 53C35, 55M25. Secondary 53C55 We provide a unified way to calculate the Gromov norm of the Kähler class of all (compact manifolds uniformized by) bounded symmetric domains. This was done for three classical domains by Domin and Toledo and for the general case by Clerc and Ørsted. Here, the calculation is much simplified by a combination of the ideas in Domin-Toledo and a work of Toledo, with the help of the Polydisc Theorem. The equality is achieved if and only if the triangle is ideal with three vertices on the Shilov boundary. |
| title | A unified calculation for Gromov norm of Kähler class of bounded symmetric domains |
| topic | Differential Geometry Primary 53C35, 55M25. Secondary 53C55 |
| url | https://arxiv.org/abs/2603.01572 |