Kähler-Yang-Mills Equations and Vortices
The Kähler-Yang-Mills equations are coupled equations for a Kähler metric on a compact complex manifold and a connection on a complex vector bundle over it. After briefly reviewing the main aspects of the geometry of the Kähler-Yang-Mills equations, we consider dimensional reductions of the equation...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2024 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2024
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212163 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Kähler-Yang-Mills Equations and Vortices. Oscar García-Prada. SIGMA 20 (2024), 032, 13 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862721337523437568 |
|---|---|
| author | García-Prada, Oscar |
| author_facet | García-Prada, Oscar |
| citation_txt | Kähler-Yang-Mills Equations and Vortices. Oscar García-Prada. SIGMA 20 (2024), 032, 13 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The Kähler-Yang-Mills equations are coupled equations for a Kähler metric on a compact complex manifold and a connection on a complex vector bundle over it. After briefly reviewing the main aspects of the geometry of the Kähler-Yang-Mills equations, we consider dimensional reductions of the equations related to vortices — solutions to certain Yang-Mills-Higgs equations.
|
| first_indexed | 2026-03-21T03:50:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212163 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T03:50:12Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | García-Prada, Oscar 2026-01-30T08:15:52Z 2024 Kähler-Yang-Mills Equations and Vortices. Oscar García-Prada. SIGMA 20 (2024), 032, 13 pages 1815-0659 2020 Mathematics Subject Classification: 32Q20; 53C07 arXiv:2309.15673 https://nasplib.isofts.kiev.ua/handle/123456789/212163 https://doi.org/10.3842/SIGMA.2024.032 The Kähler-Yang-Mills equations are coupled equations for a Kähler metric on a compact complex manifold and a connection on a complex vector bundle over it. After briefly reviewing the main aspects of the geometry of the Kähler-Yang-Mills equations, we consider dimensional reductions of the equations related to vortices — solutions to certain Yang-Mills-Higgs equations. The author thanks his co-authors for the various subjects treated in this paper. These include: Luis Alvarez-Cónsul, Steven Bradlow, Mario Garcia-Fernandez, Peter Gothen, Vamsi Pingali, and Chengjian Yao. He also thanks Jean-Pierre Bourguignon for comments and corrections on the first draft of this paper, and the IHES for its hospitality and support. Partially supported by the Spanish Ministry of Science and Innovation, through the “Severo Ochoa Programme for Centres of Excellence in R&D (CEX2019-000904-S)” and PID2022-141387NB-C21. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Kähler-Yang-Mills Equations and Vortices Article published earlier |
| spellingShingle | Kähler-Yang-Mills Equations and Vortices García-Prada, Oscar |
| title | Kähler-Yang-Mills Equations and Vortices |
| title_full | Kähler-Yang-Mills Equations and Vortices |
| title_fullStr | Kähler-Yang-Mills Equations and Vortices |
| title_full_unstemmed | Kähler-Yang-Mills Equations and Vortices |
| title_short | Kähler-Yang-Mills Equations and Vortices |
| title_sort | kähler-yang-mills equations and vortices |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212163 |
| work_keys_str_mv | AT garciapradaoscar kahleryangmillsequationsandvortices |