Spinors, Twistors and Classical Geometry
The paper studies explicitly the Hitchin system restricted to the Higgs fields on a fixed, very stable rank 2 bundle in genus 2 and 3. The associated families of quadrics relate to both the geometry of Penrose's twistor spaces and several classical results.
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2021 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2021
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211437 |
| Теги: |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Spinors, Twistors and Classical Geometry. Nigel J. Hitchin. SIGMA 17 (2021), 090, 9 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862628522918412288 |
|---|---|
| author | Hitchin, Nigel J. |
| author_facet | Hitchin, Nigel J. |
| citation_txt | Spinors, Twistors and Classical Geometry. Nigel J. Hitchin. SIGMA 17 (2021), 090, 9 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The paper studies explicitly the Hitchin system restricted to the Higgs fields on a fixed, very stable rank 2 bundle in genus 2 and 3. The associated families of quadrics relate to both the geometry of Penrose's twistor spaces and several classical results.
|
| first_indexed | 2026-03-14T17:00:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211437 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T17:00:27Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Hitchin, Nigel J. 2026-01-02T08:33:26Z 2021 Spinors, Twistors and Classical Geometry. Nigel J. Hitchin. SIGMA 17 (2021), 090, 9 pages 1815-0659 2020 Mathematics Subject Classification: 14H60; 32L25 arXiv:2108.02603 https://nasplib.isofts.kiev.ua/handle/123456789/211437 https://doi.org/10.3842/SIGMA.2021.090 The paper studies explicitly the Hitchin system restricted to the Higgs fields on a fixed, very stable rank 2 bundle in genus 2 and 3. The associated families of quadrics relate to both the geometry of Penrose's twistor spaces and several classical results. The author thanks Tamás Hausel for helpful comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Spinors, Twistors and Classical Geometry Article published earlier |
| spellingShingle | Spinors, Twistors and Classical Geometry Hitchin, Nigel J. |
| title | Spinors, Twistors and Classical Geometry |
| title_full | Spinors, Twistors and Classical Geometry |
| title_fullStr | Spinors, Twistors and Classical Geometry |
| title_full_unstemmed | Spinors, Twistors and Classical Geometry |
| title_short | Spinors, Twistors and Classical Geometry |
| title_sort | spinors, twistors and classical geometry |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211437 |
| work_keys_str_mv | AT hitchinnigelj spinorstwistorsandclassicalgeometry |