Real Slices of SL(, ℂ)-Opers
Through the action of an anti-holomorphic involution (a real structure) on a Riemann surface , we consider the induced actions on SL(, ℂ)-opers and study the real slices fixed by such actions. By constructing this involution for different descriptions of the space of SL(, ℂ)-opers, we can give a na...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2023 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2023
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212017 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Real Slices of SL(, ℂ)-Opers. Indranil Biswas, Sebastian Heller and Laura P. Schaposnik. SIGMA 19 (2023), 067, 23 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | Through the action of an anti-holomorphic involution (a real structure) on a Riemann surface , we consider the induced actions on SL(, ℂ)-opers and study the real slices fixed by such actions. By constructing this involution for different descriptions of the space of SL(, ℂ)-opers, we can give a natural parametrization of the fixed point locus via differentials on the Riemann surface, which in turn allows us to study their geometric properties.
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| ISSN: | 1815-0659 |